Add 70/75 and 45/72
70/75 + 45/72 is 187/120.
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,
70/75 = 70 × 24/75 × 24 = 1680/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
45/72 = 45 × 25/72 × 25 = 1125/1800 - Add the two like fractions:
1680/1800 + 1125/1800 = 1680 + 1125/1800 = 2805/1800 - 2805/1800 simplified gives 187/120
- So, 70/75 + 45/72 = 187/120
In mixed form: 167/120
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