Add 40/75 and 21/40
40/75 + 21/40 is 127/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
21/40 = 21 × 15/40 × 15 = 315/600 - Add the two like fractions:
320/600 + 315/600 = 320 + 315/600 = 635/600 - 635/600 simplified gives 127/120
- So, 40/75 + 21/40 = 127/120
In mixed form: 17/120
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