Add 42/75 and 56/72
42/75 + 56/72 is 301/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 75 × 24 = 1800,
42/75 = 42 × 24/75 × 24 = 1008/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
56/72 = 56 × 25/72 × 25 = 1400/1800 - Add the two like fractions:
1008/1800 + 1400/1800 = 1008 + 1400/1800 = 2408/1800 - 2408/1800 simplified gives 301/225
- So, 42/75 + 56/72 = 301/225
In mixed form: 176/225
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