Add 21/40 and 56/49
1st number: 21/40, 2nd number: 1 7/49
21/40 + 56/49 is 467/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
21/40 = 21 × 49/40 × 49 = 1029/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
56/49 = 56 × 40/49 × 40 = 2240/1960 - Add the two like fractions:
1029/1960 + 2240/1960 = 1029 + 2240/1960 = 3269/1960 - 3269/1960 simplified gives 467/280
- So, 21/40 + 56/49 = 467/280
In mixed form: 1187/280
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