Question

Write four and five eighths as an improper fraction and as a mixed number

Find the LCM of 27 and 45

Answer 1

1. 4 5/8 as an improper fraction is 41/8
2. 135

Answer 2

`(37)/(8)`

`4(5)/(8)`

135

Explanation:

Four and five eighths is given as:

`4(5)/(8)`

This is a mixed fraction. It has the whole number (4) and the fraction part (5/8)

As an improper fraction:

= 8 (4) + 5

= 37

=
`(37)/(8)`

An improper fraction has a large numerator than denominator.

LCM of 27 and 45

The expression for 27 in terms of prime factors = 3 × 3 × 3

The expression for 45 in terms of prime factors = 3 × 3 × 5

The LCM is derived by combining the highest powers of 3 and 5 which is:

LCM = (3 × 3 × 3)× 5

= 135