Simplify8-18-15-20-24-15-42-35

Step 1: Convert the division sign into multiplication by taking reciprocal,Given fraction is 8/18×15/20÷24/15×42/35Converting the division sign into multiplic ...

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Byju's Answer

Standard VI

Mathematics

Division of Fractions

Simplify8/18×...

Question

Simplify
$\frac{8}{18} \times \frac{15}{20} \div \frac{24}{15} \times \frac{42}{35}$

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Solution

Step 1:- Convert the division sign into multiplication by taking reciprocal,
Given fraction is $\frac{8}{18} \times \frac{15}{20} \div \frac{24}{15} \times \frac{42}{35}$
Converting the division sign into multiplication by taking reciprocal of $\frac{24}{15}$ i.e. $\frac{15}{24}$ ,
⇒ $\frac{8}{18} \times \frac{15}{20} \times \frac{15}{24} \times \frac{42}{35}$
Step 2:- Simplify the solution,
$\frac{8 \times 15 \times 15 \times 42}{18 \times 20 \times 24 \times 35} = \frac{1}{4}$
Therefore, $\frac{8}{18} \times \frac{15}{20} \div \frac{24}{15} \times \frac{42}{35} = \frac{1}{4}$

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Simplify818×1520÷2415×4235

Simplify
$\frac{8}{18} \times \frac{15}{20} \div \frac{24}{15} \times \frac{42}{35}$