Question

Simplify (3/7 + 22 4/7 - 2/8 divided by 1/4).​

Answer 1

Answer:

220/7 is the answer

hope it helps

Answer 2

$\bf \red{\frac{3}{7} + 22 \frac{4}{7} - \frac{2}{8} \div \frac{1}{4} = 22}$

Given:

• $\frac{3}{7} + 22 \frac{4}{7} - \frac{2}{8} \div \frac{1}{4}$

To find:

• Simplify.

Solution:

Concept to be used:

• Apply BODMAS rule
• Convert mixed fraction into simple fraction; as shown $\bf a \frac{b}{c} = \frac{ac + b}{c}$

Step 1:

First solve division.

$\frac{3}{7} + 22 \frac{4}{7} - \frac{2}{8} \times 4$

or

$\frac{3}{7} + 22 \frac{4}{7} - \frac{2}{\cancel8 \: 2} \times \cancel4$

or

$\frac{3}{7} + 22 \frac{4}{7} - 1$

Step 2:

Convert mixed fraction into simple fraction.

$\frac{3}{7} + \frac{(22 \times 7) + 4}{7} - 1$

or

$\frac{3}{7} + \frac{158}{7} - 1$

Step 3:

Take LCM and solve.

$= \frac{3 + 158 - 7}{7}$

or

$= \frac{154}{7}$

or

$= 22$

Thus,

$\bf \frac{3}{7} + 22 \frac{4}{7} - \frac{2}{8} \div \frac{1}{4} = 22$

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