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blondinia [14]
3 years ago
15

7 3/8 - 4/7 Estimate

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

7\,\frac{3}{8}-\frac{4}{7} = 6\,\frac{45}{56}

Step-by-step explanation:

Let x = 7\,\frac{3}{8}-\frac{4}{7}, we proceed to simplify into a single rational number by algebraic means:

1) 7\,\frac{3}{8} -\frac{4}{7} Given

2) \left(\frac{56}{8}+\frac{3}{8}\right)-\frac{4}{7} Definition of mixed number/Associative property

3) \frac{59}{8}-\frac{4}{7}  \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}

4) \frac{413-32}{56} \frac{a}{b}+\frac{c}{d}

5) \frac{381}{56} Definition of subtraction

6) \frac{336}{56}+\frac{45}{56}  \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}

7) 6\,\frac{45}{56} Definition of mixed number/Result

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Given:

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To solve for x, apply the altitude formula:

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Cross multiply:

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Take the square root of both sides:

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ANSWER:

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