Find the value of 31 1 6 × 31 5 6 by using Ekaadhiken Purven Sutra.

To find the value of 31 1 6 × 31 5 6 by using Ekaadhiken Purven Sutra: Now, 31 1 6 × 31 5 6 = 31 × 31 + 1 / 1 6 × 5 6 ⇒ 31 1 6 × 31 5 6 = 31 × 32 / 5 36 ⇒ 31 1 6 × 31 5 6 = 992 5 36 .

Solve the following 17 8 × 18 17

Given, 17 8 × 18 17 17 8 × 18 17 = 18 8 = 2 2 8 = 2 1 4 Therefore, 17 8 × 18 17 = 2 1 4

Which of the drawings show 2 × 1 5 :

Given fraction is: 2 × 1 5 = 1 5 + 1 5 1 5 represents 1 part out of 5 parts. Among all the figures given, only the last figure is divided into 5 parts, and two such circles are there. Hence, the drawing that shows 2 × 1 5 is:

One tin holds 12 3 4 litres of oil. How many litres of oil can 26 such tins hold?

Given: Capacity of 1 tin = 12 3 4 L Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 12 3 4 L = 4 × 12 + 3 4 = 51 4 L Capacity of 26 such tins = 26 × 51 4 L ⇒ 26 1 × 51 4 L = 26 × 51 1 × 4 L = 13 × 51 1 × 2 L = 663 2 L Also, conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator . If we divide 663 ÷ 2 , we get Quotient = 331 Remainder = 1 Therefore, 663 2 L = 331 1 2 L Hence, 26 such tins can hold 331 1 2 litres of oil.

Multiply the greatest fraction by the smallest fraction 1 1 4 , 1 1 3 , 1 1 8 , 1 1 5

Given, 1 1 4 , 1 1 3 , 1 1 8 , 1 1 5 To convert a mixed fraction to an improper fraction, follow the steps: Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator. Therefore the improper frations are 5 4 , 4 3 , 9 8 , 6 5 . Find the Lcm of denominators. LCM of 4 , 3 , 8 and 5 is 120 . Now, divide the LCM with the denominator of the fraction and multiply numerator and denominator with the same number in order to have equivalent fractions. 5 4 × 30 30 , 4 3 × 40 40 , 9 8 × 15 15 , 6 5 × 24 24 150 120 , 160 120 , 135 120 , 144 120 The order of fractions are 135 120 , 144 120 , 150 120 , 160 120 . Find the greatest and smallest fractions from the set of fractions. They are 4 3 and 9 8 . Product of greatest and smallest fractions are = 3 2 Therefore, the product of greatest and smallest fraction is 3 2 = 1 1 2 .

By what number should 9 4 5 be multiplied to get 42 ?

Given: Product of the two numbers = 42 One of the numbers = 9 4 5 = 49 5 So, The other number = 42 ÷ 49 5 = 42 × 5 49 [∵ Reciprocal of 49 5 = 5 49 ] = 6 × 5 7 = 30 7 = 4 2 7 Therefore, the required number is 4 2 7 .

Solve the following 0 × 7 10

Given, 0 × 7 10 Any number multiplied with 0 is 0 . Therefore 0 × 7 10 = 0

Each side of a square field is 4 2 3 m. Find its area.

Given: Side of the square field = 4 2 3 m Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 4 2 3 m = 14 3 m We know that, area of the square = ( s i d e ) 2 = 14 3 m 2 = 14 3 m × 14 3 m = 14 × 14 3 × 3 m 2 = 196 9 m 2 Also, conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator If we divide 196 ÷ 9 , we get Quotient = 21 Remainder = 7 ⇒ 196 9 m 2 = 21 7 9 m 2 Therefore, the area of the square field is 21 7 9 m 2 .

EASY

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$Multiply \frac{4}{7} by the reciprocal of \frac{1}{63}$ .

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Important Questions on Fractions

EASY

Mathematics>Number System>Fractions>Parts and Multiplication

Find the value of

31 \frac{1}{6} \times 31 \frac{5}{6}

by using Ekaadhiken Purven Sutra.

EASY

Mathematics>Number System>Fractions>Parts and Multiplication

If $\frac{2}{5} = \frac{24}{x}$ Find the value of x

EASY

Mathematics>Number System>Fractions>Parts and Multiplication

Four families went on a picnic. Each family carried a cake for the picnic,

\frac{3}{4}

of each cake was eaten. How much cake was eaten in all?

MEDIUM

Mathematics>Number System>Fractions>Parts and Multiplication

Solve the following

$\frac{17}{8} \times \frac{18}{17}$

MEDIUM

Mathematics>Number System>Fractions>Parts and Multiplication

Find the value of $x$ and $y$ respectively.

$5 \frac{1}{x} \times y \frac{3}{4} = 20$

MEDIUM

Mathematics>Number System>Fractions>Parts and Multiplication

In a class of $40$ students $\frac{1}{5}$ of the total number of students like to study English, $\frac{2}{5}$ of the total number of students like to study Mathematics and the remaining like to study Science.

(i) How many students like to study English?

(ii) How many students like to study Mathematics?

(iii) What fraction of the total number of students like to study Science?

MEDIUM

Mathematics>Number System>Fractions>Parts and Multiplication