Add 9/40 and 21/72
9/40 + 21/72 is 31/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
21/72 = 21 × 5/72 × 5 = 105/360 - Add the two like fractions:
81/360 + 105/360 = 81 + 105/360 = 186/360 - 186/360 simplified gives 31/60
- So, 9/40 + 21/72 = 31/60
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