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 .

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.

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:

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 .

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

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Important Questions on Fractions

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Mathematics>Number System>Fractions>Parts and Multiplication

Which one of the following fractions will have minimum change in its value if

3

is added to both the numerator and the denominator of all the fractions?

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Mathematics>Number System>Fractions>Parts and Multiplication

A man covers

\frac{5}{12}

of a total journey by train,

\frac{7}{18}

of the journey by bus and the remaining

7 km

on foot. His total journey is:

EASY

Mathematics>Number System>Fractions>Parts and Multiplication

A school group charters three identical buses and occupies

\frac{4}{5}

of the seats. After

\frac{1}{4}

of the passengers leave, the remaining passengers use only two of the buses. The fraction of the seats on the two buses that are now occupied is

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Mathematics>Number System>Fractions>Parts and Multiplication

By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by

\frac{175}{4} %

. What was the value of the fraction?

MEDIUM

Mathematics>Number System>Fractions>Parts and Multiplication

A cake is distributed among 5 friends. Four of them get $\frac{1}{8}, \frac{1}{6}, \frac{5}{12}$ and $\frac{1}{12}$ , and as shares. What part of the cake will be got by the fifth friend?

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Mathematics>Number System>Fractions>Parts and Multiplication

A fraction is such that the numerator is five less than the denominator. Also four times the numerator is one more than the denominator. The fraction is:

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Mathematics>Number System>Fractions>Parts and Multiplication

Three numbers are in the ratio