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 .

Multiply 3 7 ÷ 21 and write the solution in mixed fraction.

Given, 3 7 ÷ 21 Take the reciprocal of the divisor → 1 21 Multiply the dividend and the reciprocal of the divisor. That is, 3 7 × 1 21 = 3 1 147 49 = 1 49 Therefore, the required answer is 1 49 .

Preeti bought 8 1 2 kg of sugar for ₹ 242 1 4 . Find the price of sugar per kilogram.

Given, The cost of 8 1 2 kg of sugar is ₹ 242 1 4 . Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 8 1 2 = 17 2 and 242 1 4 = 969 4 That is, the cost of 17 2 kg of sugar = ₹ 969 4 So, the cost of 1 kg of sugar is, = 969 4 ÷ 17 2 = 969 4 × 2 17 = 57 2 Conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator . If we divide 57 ÷ 2 , we get Quotient = 28 Remainder = 1 ⇒ 57 2 = 28 1 2 Therefore, the cost of sugar is ₹ 28 1 2 per kilogram.

Given, 1 2 ÷ 7 Take the reciprocal of the divisor → 1 7 Multiply the dividend and the reciprocal of the divisor. That is, 1 2 × 1 7 = 1 14 Therefore, the required answer is 1 14 .

Given, 9 7 ÷ 3 Take the reciprocal of the divisor → 1 3 Multiply the dividend and the reciprocal of the divisor. That is, 9 7 × 1 3 = 9 3 21 7 = 3 7 Therefore, the required answer is 3 7 .

By what number should 6 2 9 be divided to obtain 4 2 3 ?

From the given, Required number = 6 2 9 ÷ 4 2 3 = 56 9 ÷ 14 3 = 56 9 × 3 14 [ ∵ Reciprocal of 14 3 = 3 14 ] = 4 3 = 1 1 3 Therefore, we have to divide 6 2 9 by 1 1 3 to get 4 2 3 .

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Write the reciprocal of the below fraction.
$\frac{6}{7} =$

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Important Questions on Fractions and Decimals

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

Three numbers are in the ratio

\frac{3}{4} : \frac{5}{8} : \frac{7}{12}

. If the difference between the greatest and the smallest number is

48

, then the value of the greater number will be:

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

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:

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

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>Arithmetic>Fractions and Decimals>Multiplication of Fractions

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?

MEDIUM

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

$\frac{(a - b)^{3} + (b - c)^{3} + (c - a)^{3}}{3 (a - b) (b - c) (c - a)} = ?$

What is the value of above expression?

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

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

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

Find the value of

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

by using Ekaadhiken Purven Sutra.

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

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>Arithmetic>Fractions and Decimals>Multiplication of Fractions

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?