Question

simplify: 7 2/7 -3 4/21​

Answer 1

answer is explained in detail at the above picture

Answer 2

$\bf 7 \frac{2}{7} - 3\frac{4}{21} = 4 \frac{2}{21}$

Given:

• $7 \frac{2}{7} - 3\frac{4}{21}$

To find:

• Simplify .

Solution:

Concept to be used:

Convert mixed fraction into improper fraction.

$\bf a \frac{b}{c} = \frac{(a \times c) + b}{c}$

Step 1:

Convert mixed fraction into improper.

$7 \frac{2}{7} = \frac{(7 \times 7) + 2}{7}$

$\bf 7 \frac{2}{7} = \frac{51}{7}$

and

$3 \frac{4}{21} = \frac{(21 \times 3) + 4}{21}$

$\bf 3 \frac{4}{21} = \frac{67}{21}$

Step 2:

Simplify the expression.

$\frac{51}{7} - \frac{67}{21} = \frac{51 \times 3 - 67}{21}$

$\frac{51}{7} - \frac{67}{21} = \frac{153 - 67}{21}$

$\frac{51}{7} - \frac{67}{21} = \frac{86}{21}$

Convert into mixed fractions.

$\frac{51}{7} - \frac{67}{21} = 4\frac{2}{21}$

Thus,

$\bf 7 \frac{2}{7} - 3\frac{4}{21} = 4 \frac{2}{21}$

Learn more:

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