Add 21/49 and 27/40
21/49 + 27/40 is 309/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
21/49 = 21 × 40/49 × 40 = 840/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
27/40 = 27 × 49/40 × 49 = 1323/1960 - Add the two like fractions:
840/1960 + 1323/1960 = 840 + 1323/1960 = 2163/1960 - 2163/1960 simplified gives 309/280
- So, 21/49 + 27/40 = 309/280
In mixed form: 129/280
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