Question

I need help with this question

Answer 1

Answer:

1/3 = 56/168

5/8 = 105/168

4/7 = 96/168

Step-by-step explanation:

the simplest approach to common denominator is by just multiplying all different denominators:

3 × 8 × 7 = 168

3 and 7 are prime numbers (no other whole number factors are a part of them).

8 has sub-factors : 4 and 2

but we cannot build any multiplication products with them and 3 and 7 that is then divisible by 8.

so, actually, 168 is the smallest common denominator.

so, to bring every fraction to a 168 denominator, we need to calculate the scaling factor between the original fraction denominator and the new one.

for 1/3 we have therefore to calculate 168/3 = 56

for 5/8 we have to calculate 168/8 = 21

for 4/7 we have to calculate 168/7 = 24

and so

1/3 = 1×56/168 = 56/168

5/8 = 5×21/168 = 105/168

4/7 = 4×24/168 = 96/168