Add 75/64 and 42/75
1st number: 1 11/64, 2nd number: 42/75
75/64 + 42/75 is 2771/1600.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 75 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 64 × 75 = 4800,
75/64 = 75 × 75/64 × 75 = 5625/4800 - Likewise, for the 2nd fraction, since 75 × 64 = 4800,
42/75 = 42 × 64/75 × 64 = 2688/4800 - Add the two like fractions:
5625/4800 + 2688/4800 = 5625 + 2688/4800 = 8313/4800 - 8313/4800 simplified gives 2771/1600
- So, 75/64 + 42/75 = 2771/1600
In mixed form: 11171/1600
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