Add 21/72 and 70/75
21/72 + 70/75 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
21/72 = 21 × 25/72 × 25 = 525/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
70/75 = 70 × 24/75 × 24 = 1680/1800 - Add the two like fractions:
525/1800 + 1680/1800 = 525 + 1680/1800 = 2205/1800 - 2205/1800 simplified gives 49/40
- So, 21/72 + 70/75 = 49/40
In mixed form: 19/40
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