Add 49/72 and 21/40
49/72 + 21/40 is 217/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 72 × 5 = 360,
49/72 = 49 × 5/72 × 5 = 245/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360 - Add the two like fractions:
245/360 + 189/360 = 245 + 189/360 = 434/360 - 434/360 simplified gives 217/180
- So, 49/72 + 21/40 = 217/180
In mixed form: 137/180
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