Answer:
1/3 = 56/168
5/8 = 105/168
4/7 = 96/168
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