Add 27/72 and 40/49
27/72 + 40/49 is 467/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 49 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 72 × 49 = 3528,
27/72 = 27 × 49/72 × 49 = 1323/3528 - Likewise, for the 2nd fraction, since 49 × 72 = 3528,
40/49 = 40 × 72/49 × 72 = 2880/3528 - Add the two like fractions:
1323/3528 + 2880/3528 = 1323 + 2880/3528 = 4203/3528 - 4203/3528 simplified gives 467/392
- So, 27/72 + 40/49 = 467/392
In mixed form: 175/392
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