Add 75/80 and 42/75
75/80 + 42/75 is 599/400.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 80 × 15 = 1200,
75/80 = 75 × 15/80 × 15 = 1125/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
42/75 = 42 × 16/75 × 16 = 672/1200 - Add the two like fractions:
1125/1200 + 672/1200 = 1125 + 672/1200 = 1797/1200 - 1797/1200 simplified gives 599/400
- So, 75/80 + 42/75 = 599/400
In mixed form: 1199/400
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