Find the value of the following: 4 ÷ 1 3

Here, the whole number is 4 and the fraction is 1 3 . When an whole number is divided by a fraction then, we need to multiply the whole number by the reciprocal of the fraction. Example: x ÷ y z = x × z y ∴ 4 ÷ 1 3 = 4 × 3 = 12 .

Find the value of the following: 4 ÷ 1 3

Here, the whole number is 4 and the fraction is 1 3 . When an whole number is divided by a fraction then, we need to multiply the whole number by the reciprocal of the fraction. Example: x ÷ y z = x × z y ∴ 4 ÷ 1 3 = 4 × 3 = 12 .

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 .

Given to divide 3 6 by 1 3 3 6 ÷ 1 3 Take the reciprocal of the divisor → 3 1 Multiply the dividend and the reciprocal of the divisor. That is, 3 6 × 3 1 = 3 1 6 2 = 1 2 Therefore, the required answer is 1 2 .

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, 3 8 ÷ 8 Take the reciprocal of the divisor → 1 8 Multiply the dividend and the reciprocal of the divisor. That is, 3 8 × 1 8 = 3 64 Therefore, the required answer is 3 64 .

Given, 8 1 2 by 2 5 or 8 1 2 ÷ 2 5 or 17 2 ÷ 2 5 Take the reciprocal of the divisor → 5 2 Multiply the dividend and the reciprocal of the divisor. That is, 17 2 × 5 2 = 85 4 = 21 × 4 + 1 4 = 21 1 4 Therefore, the required answer is 21 1 4 .

18 boxes of nails weigh equally and their total weight is 49 1 2 kg . How much does each box weigh?

Given: Weight of 18 boxes of nails = 49 1 2 kg Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 49 1 2 = 99 2 So, Weight of 1 box = 99 2 ÷ 18 kg = 99 2 × 1 18 kg [∵ Reciprocal of 18 = 1 18 ] = 99 × 1 2 × 18 kg = 11 × 1 2 × 2 kg = 11 4 kg Conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator . If we divide 11 ÷ 4 , we get Quotient = 2 Remainder = 3 Therefore, 11 4 = 2 3 4 Therefore, the weight of each box is 2 3 4 kg .

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 .

EASY

Earn 100

Find the value of the following:
$4 \div \frac{1}{3}$

Important Questions on Fractions and Decimals

EASY

Mathematics>Arithmetic>Fractions and Decimals>Division 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>Division 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>Division 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>Division 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>Division 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>Division 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>Division 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>Division 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>Division 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?