Add 40/75 and 21/28
40/75 + 21/28 is 77/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Likewise, for the 2nd fraction, since 28 × 75 = 2100,
21/28 = 21 × 75/28 × 75 = 1575/2100 - Add the two like fractions:
1120/2100 + 1575/2100 = 1120 + 1575/2100 = 2695/2100 - 2695/2100 simplified gives 77/60
- So, 40/75 + 21/28 = 77/60
In mixed form: 117/60
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