Add 42/40 and 75/14
1st number: 1 2/40, 2nd number: 5 5/14
42/40 + 75/14 is 897/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
42/40 = 42 × 7/40 × 7 = 294/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
75/14 = 75 × 20/14 × 20 = 1500/280 - Add the two like fractions:
294/280 + 1500/280 = 294 + 1500/280 = 1794/280 - 1794/280 simplified gives 897/140
- So, 42/40 + 75/14 = 897/140
In mixed form: 657/140
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