Name: Converting Decimals to Fractions
Uploaded: 2019-07-19
Duration: 3 min 47 s
Description: We can understand the conversion of decimals to fractions on tenths, hundredths and thousandths place from this video. Let us watch it and learn how to perfo...

Question

What is the smallest fraction that must be added to $1 \frac{1}{3} \div 1 \frac{1}{2} \div 1 \frac{1}{9}$ to make the result an integer?

Accepted Answer

We have to add a smallest fraction $1 \frac{1}{3} \div 1 \frac{1}{2} \div 1 \frac{1}{9}$ to make result integer.

Convert each fraction into improper fraction

$1 \frac{1}{3} \div 1 \frac{1}{2} \div 1 \frac{1}{9} \Rightarrow \frac{1 \times 3 + 1}{3} \div \frac{1 \times 2 + 1}{2} \div \frac{1 \times 9 + 1}{9} \Rightarrow \frac{4}{3} \div \frac{3}{2} \div \frac{10}{9}$

As we know that $\frac{a}{b} \div \frac{b}{c} = \frac{a}{b} \times \frac{c}{b}$

$\frac{4}{3} \times \frac{2}{3} \times \frac{9}{10} = \frac{4}{5}$

As $0 < \frac{4}{5} < 1,$ we need to subtract from the nearest integer value i.e $1$ .

So, the required value is $1 - \frac{4}{5} = \frac{5 - 4}{5} = \frac{1}{5}$

Here, $\frac{1}{5}$ is the least fraction that must be added

O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Fractions and Decimals, Exercise 9: Challenge !

O P Malhotra Mathematics Solutions for Exercise - O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Fractions and Decimals, Exercise 9: Challenge !

Questions from O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Fractions and Decimals, Exercise 9: Challenge ! with Hints & Solutions

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