Question

7 3/8 - 4/7 Estimate

Answer 1

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