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saveliy_v [14]
3 years ago
8

Find the missing values in the equation below.

Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

\frac{2}{3} - \frac{1}{2} =  \frac{4}{6} - \frac{3}{6}

\frac{2}{3} - \frac{1}{2} = \frac{1}{6}

Step-by-step explanation:

Given

\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}

/ - / = \frac{?}{6}

Required

Fill in the gaps

For Line 1, convert both fraction to a denominator of 6.

This is shown below:

\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}

\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}

\frac{2*2}{2*3} - \frac{1*3}{2*3}

\frac{4}{6} - \frac{3}{6}

Hence:

\frac{2}{3} - \frac{1}{2} =  \frac{4}{6} - \frac{3}{6}

For Line 2;

We have:

\frac{2}{3} - \frac{1}{2} =  \frac{4}{6} - \frac{3}{6}

\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}

\frac{2}{3} - \frac{1}{2} = \frac{1}{6}

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