Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
- To reduce a fraction to the lowest terms equivalent: divide both the numerator and denominator by their greatest common factor, GCF.
The fraction: 88/88
88/88 = (88 ÷ 88)/(88 ÷ 88) = 1/1 = 1
The fraction: 95/90
- The prime factorizations of the numerator and denominator:
- 95 = 5 × 19
- 90 = 2 × 32 × 5
- Multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponent (the lowest powers).
- GCF (95; 90) = 5
95/90 = (95 ÷ 5)/(90 ÷ 5) = 19/18
The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:
95/90 = (5 × 19)/(2 × 32 × 5) = ((5 × 19) ÷ 5)/((2 × 32 × 5) ÷ 5) = 19/18