What is the fraction that is found halfway between 5/16 and 7/11 ?

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What is the fraction that is found halfway between 5/16 and 7/11 ?

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Answer 1 · 2016-05-06T13:55:20

$\frac{167}{352}$ $167/352$

Explanation:

To find the fraction found halfway between $\frac{5}{16}$ $5/16$ and $\frac{7}{11}$ $7/11$ is to find the average of the two fractions.

Recall that the average is found by adding a certain amount of numbers together and dividing it by the amount of numbers in the set.

In your case, we must add $\frac{5}{16}$ $5/16$ and $\frac{7}{11}$ $7/11$ together and divide it by $2$ $2$ , since there are two fractions.

Step 1: Adding the Two Fractions Together

Thus,

$\frac{5}{16} + \frac{7}{11}$ $5/16+7/11$

In order to add the two fractions together, find the L.C.M. of the two denominators of the fractions. As a shortcut, multiply each fraction by the denominator of the other fraction in the numerator and denominator.

$= \frac{5}{16} (\frac{11}{11}) + \frac{7}{11} (\frac{16}{16})$ $=5/16(11/11)+7/11(16/16)$

Simplify.

$= \frac{55}{176} + \frac{112}{176}$ $=55/176+112/176$

$= \frac{167}{176}$ $=color(blue)(167/176)$

Step 2: Dividing the Sum by 2

$\frac{167}{176} \div 2$ $color(blue)(167/176)-:2$

Recall that dividing by $2$ $2$ is the same as multiplying by the reciprocal of $2$ $2$ . Thus,

$= \frac{167}{176} \cdot \frac{1}{2}$ $=167/176*1/2$

$=color(green)(|bar(ul(color(white)(a/a)color(black)(167/352)color(white)(a/a)|)))$

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What is the fraction that is found halfway between 5/16 and 7/11 ?

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