Question

7 3/8 - 4/7 Estimate

Answer 1

`7\,(3)/(8)-(4)/(7) = 6\,(45)/(56)`

Explanation:

Let
`x = 7\,(3)/(8)-(4)/(7)`, we proceed to simplify into a single rational number by algebraic means:

1)
`7\,(3)/(8) -(4)/(7)` Given

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

3)
`(59)/(8)-(4)/(7)`
`(a)/(b) + (c)/(b) = (a+c)/(b)`

4)
`(413-32)/(56)`
`(a)/(b)+(c)/(d)`

5)
`(381)/(56)` Definition of subtraction

6)
`(336)/(56)+(45)/(56)`
`(a)/(b) + (c)/(b) = (a+c)/(b)`

7)
`6\,(45)/(56)` Definition of mixed number/Result