Question

what fraction of 4/7 must be added to itself to make the sum 1 1/14

Answer 1

7/8 fraction of 4/7 must be added to itself to make a sum of $1 \frac{1}{14}$or 15/14.

Given:

• Two fractions.
• $\frac{4}{7} \: and \: 1 \frac{1}{14}$

To find:

• What fraction of 4/7 must be added to itself to make the sum 1 1/14.

Solution:

Step 1:

Convert the mixed fraction into improper fraction.

We know that

$\bf a \frac{b}{c} = \frac{ac + b}{c}$

So,

$1 \frac{1}{14} = \frac{(1 \times 14) + 1}{14}$

$\bf 1 \frac{1}{14} = \frac{15}{14}$

Step 2:

Find the fraction of 4/7.

Let x fraction of 4/7 must be added to iteself

So,

$x \: of \frac{4}{7} + \frac{4}{7} = \frac{15}{14}$

$x \: of \: \frac{4}{7} = \frac{15}{14} - \frac{4}{7}$

$\frac{4x}{7} = \frac{15 - 8}{14}$

$\frac{4x}{7} = \frac{7}{14}$

$\frac{4x}{7} = \frac{1}{2}$

$\bf x = \frac{7}{8}$

Thus,

7/8 fraction of 4/7 must be added to itself to make a sum of $\bf 1 \frac{1}{14}$or 15/14.

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