Fractions

What fraction of the primary colors (Red, Yellow, Blue) is the color 'Red'?

If a square is divided into $2$ equal rectangles, what fraction of the square does one rectangle represent?

Represent 'six-elevenths' as a fraction.

What fraction of $1$ rupee is $25$ paise?

What is the result of $1 - \frac{3}{7}$ expressed as a fraction?

Find the missing numerator: $\frac{?}{7} = \frac{15}{35}$.

Between which two consecutive whole numbers does the fraction $\frac{17}{4}$ lie?

A person travels $\frac{1}{3}$ of a distance by bus, $\frac{1}{4}$ by car, and the remaining 10 km on foot. What is the total distance traveled?

What is the result of $(\frac{1}{2} \text{ of } 24) - (\frac{2}{3} \text{ of } 15)$ expressed as a fraction of 20?

Convert the improper fraction $\frac{1001}{13}$ to a mixed fraction.

On the number line, where is the fraction $\frac{1}{1000}$ located?

If the distance from $0$ to $1$ is divided into $30$ equal parts, the $30$th mark is exactly at:

The point $\frac{15}{3}$ is at the same position as which integer?

Which fraction is further to the right on the number line: $\frac{5}{11}$ or $\frac{9}{11}$?

If the point $A$ on a number line is $\frac{3}{5}$ and point $B$ is $\frac{3}{5}$ units to the right of $A$, what whole number is point $B$ closest to?

Which of these fractions is correctly placed between $2$ and $3$ on the number line?

Starting at $0$ on a number line, if you move $2$ units to the right and then $\frac{1}{3}$ unit to the left, where are you?

If you reflect the point $\frac{2}{3}$ across the point $1$ on a number line, at what coordinate do you land?

On a number line, point $P$ is $\frac{1}{2}$ units to the right of $\frac{1}{3}$, and point $Q$ is $\frac{1}{3}$ units to the left of $\frac{1}{2}$. What is the distance between $P$ and $Q$?

If you divide the interval from $\frac{1}{5}$ to $1$ into $4$ equal parts, what is the coordinate of the $3^{rd}$ mark starting from $\frac{1}{5}$?

What is the improper fraction equivalent of $10 \frac{7}{8}$?

Convert $\frac{31}{6}$ to a mixed number.

Write $3 \frac{4}{5}$ as an improper fraction.

Find the proper fraction where the denominator is $5$ and the numerator is $2$ less than the denominator.

If $\frac{y}{7}$ is a proper fraction and $y$ is an odd number greater than $4$, what is the value of $y$?

Calculate the result when the denominator is subtracted from the numerator of the improper fraction equivalent to $13 \frac{2}{3}$.

Which improper fraction has a numerator that is the product of $4$ and $6$, and a denominator of $5$?

How many proper fractions $\frac{n}{15}$ exist such that $n$ is a multiple of $4$?

If $\frac{a}{b}$ is a proper fraction in its simplest form and $a \times b = 30$, find the smallest possible value for $a+b$.

If the sum of two proper fractions is $1 \frac{1}{5}$, and one of them is $\frac{3}{5}$, what is the other fraction?

Determine the numerator $x$ in the equivalence $\frac{10}{13} = \frac{x}{65}$.

If $\frac{8}{17} = \frac{16}{y}$, find the value of $y$.

Express $\frac{14}{35}$ as an equivalent fraction with a denominator of 5.

Find the equivalent numerator for $\frac{5}{21}$ when the denominator is 63.

If $\frac{x}{13} = \frac{30}{65}$, what is the value of $x$?

Find the equivalent fraction of $\frac{5}{12}$ with a denominator of $72$.

Simplify the fraction $\frac{48}{64}$ to its lowest terms.

Which fraction equivalent to $\frac{14}{35}$ has a denominator that is the square of $5$?

A fraction is equivalent to $\frac{1}{3}$. If the product of its numerator and denominator is $108$, find the denominator.

If $\frac{3}{4} = \frac{x}{16}$ and $\frac{x}{y} = \frac{2}{5}$, find the value of $y - x$.

What is the simplest form of the fraction $\frac{24}{36}$?

The fraction $\frac{45}{60}$ in its simplest form is:

Reduce $\frac{25}{75}$ to its simplest form.

Find the simplest form of $\frac{18}{27}$.

Identify the fraction that is NOT in its simplest form from the following options:

Simplify the fraction $\frac{133}{209}$ to its simplest form.

Find the simplest form of $\frac{117}{144}$.

A wholesaler had $2646$ kg of wheat in stock. If $1134$ kg of wheat was sold during the day, what is the simplest form of the fraction representing the wheat that remains in stock?

Which of these fractions is the simplest form of $\frac{444}{666}$?

Simplify the fraction $\frac{375}{625}$ to its simplest form.

Is $\frac{21}{25}$ greater than $\frac{19}{25}$?

Compare $\frac{3}{50}$ and $\frac{3}{100}$. Which symbol is correct?

Which fraction is larger: $\frac{7}{19}$ or $\frac{11}{19}$?

Choose the correct sign for: $\frac{9}{25}$ ___ $\frac{9}{30}$

Which of the following fractions is greater than $\frac{7}{9}$?

Choose the correct sign: $\frac{22}{7} \Box 3 \frac{1}{7}$

Which of these comparisons is incorrect?

Arrange the fractions $\frac{1}{3}, \frac{2}{7}, \frac{3}{10}$ in ascending order.

Which of the following is equivalent to a value greater than $2$?

How many proper fractions with a denominator of 10 are greater than $\frac{1}{2}$?

What is the sum of $\frac{1}{8}$, $\frac{1}{4}$ and $\frac{1}{2}$?

Find the value of $\frac{7}{15} + \frac{1}{15} + \frac{2}{15}$ in its simplest form.

Subtract $1 \frac{1}{3}$ from $2 \frac{2}{3}$.

Evaluate: $\frac{2}{7} + \frac{3}{14}$. Give the result in simplest form.

Evaluate the expression: $8 \frac{1}{4} - (2 \frac{1}{2} + 3 \frac{3}{4})$.

A journey is $45 \frac{1}{2}$ km long. If $20 \frac{1}{4}$ km is covered by bus and $15 \frac{3}{4}$ km is covered by train, and the rest by taxi, find the distance covered by taxi.

Subtract $\frac{5}{12}$ from $2 \frac{1}{6}$.

Evaluate: $(5\frac{1}{2} + 4\frac{2}{3}) - (3\frac{1}{4} + 2\frac{1}{6})$.

What is the result when the sum of $3\frac{1}{4}$ and $2\frac{5}{8}$ is subtracted from $10$?

Find the value of $x$: $x + 4\frac{2}{3} = 15 - 3\frac{1}{2}$.

Which fraction represents a whole divided into $9$ equal parts with $1$ part shaded?

Identify the denominator in $\frac{5}{13}$.

If a line segment is divided into $10$ equal parts, what is the fraction of $7$ such parts?

What do we call the fraction $\frac{1}{3}$?

What fraction of the numbers from $1$ to $10$ are even?

If you have $3$ whole apples and you cut each into quarters, how many fractional units of $\frac{1}{4}$ will you have?

How many $\frac{1}{6}$ units make a whole?

If $10$ equal shares of a mystery substance weigh a total of $3\frac{3}{4}$ kg, what is the weight of $8$ such shares?

Convert the improper fraction $\frac{437}{19}$ to a whole number.

If $\frac{3}{11}$ of a pole is under mud, $\frac{2}{5}$ is in water, and the remaining $18$ meters is above water, what is the total length of the pole?

How many parts are considered in the fraction $\frac{4}{7}$?

What fraction of the first five natural numbers (1, 2, 3, 4, 5) are prime?

A collection has 5 stars. What fraction does 1 star represent?

Represent 'eight-thirteenths' numerically.

Among the natural numbers from 1 to 12, what fraction of the numbers are factors of 12?

What fraction of the months in a year have exactly 30 days?

What fraction of 2 days is 12 hours?

What is the sum of $\frac{1}{2}, \frac{1}{4},$ and $\frac{1}{8}$?

A square paper is folded into half, and then into half again (perpendicularly). If a small circle is cut out from the center of the folded paper, what fraction of the total area of the square remains if the circle's area is $\frac{1}{10}$ of one of the smallest squares formed by folds?

If $\frac{2}{7}$ of a day is spent sleeping and $\frac{1}{7}$ is spent playing, what fraction of the day is left for other activities?

What fraction of a meter is $12$ cm in simplest form?

How many minutes are in $\frac{1}{5}$ of an hour?

Express $2$ mm as a fraction of a centimeter in simplest form.

How many grams are in $\frac{1}{10}$ of a kilogram?

A fruit weighs $450$ grams. What fraction of a kilogram is this weight? ($1$ kg = $1000$ g)

If a grasshopper covers $1 \frac{1}{3}$ meters in one jump, how many meters will it cover in $3$ such jumps?

What is the length of one-quarter of a $2$-meter long string?

The product of two fractional measurements is $15 \frac{5}{6}$. If one measurement is $3 \frac{1}{2}$, what is the other measurement?

A metal rod $18 \frac{3}{4}$ cm long is heated and it expands by $\frac{1}{25}$ of its original length. What is its new length in centimeters?

A pipe can fill $\frac{2}{15}$ of a tank in $1$ hour. How many hours will it take to fill the entire tank?

If the segment between 0 and 1 is divided into 2 equal parts, what is the length of each part?

What is the fraction for a point that is 6 units of $\frac{1}{7}$ away from 0?

On a number line, if the distance between 0 and 1 is divided into 11 parts, the 11th part is:

If you mark $\frac{2}{3}$ on a number line, how many parts out of the 3 equal parts are covered from 0?

If the length of a segment on a number line is $1$ and it starts at $3/5$, where does it end?

If you start at $1/2$ and subtract $1/8$ of the unit length, what is your coordinate?

A number line is divided into $12$ equal parts between $0$ and $1$. Which mark corresponds to $2/3$?

Point $A$ is at $1/3$ and Point $B$ is at $3/4$. If we divide the segment $AB$ into $5$ equal parts, what is the length of each part?

If you move $2/3$ units to the left from $1/2$ on the number line, what is your final coordinate?