Add 75/7 and 42/81
1st number: 10 5/7, 2nd number: 42/81
75/7 + 42/81 is 2123/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 81 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 7 × 81 = 567,
75/7 = 75 × 81/7 × 81 = 6075/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
42/81 = 42 × 7/81 × 7 = 294/567 - Add the two like fractions:
6075/567 + 294/567 = 6075 + 294/567 = 6369/567 - 6369/567 simplified gives 2123/189
- So, 75/7 + 42/81 = 2123/189
In mixed form: 1144/189
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