Add 21/40 and 4/7
21/40 + 4/7 is 307/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
21/40 = 21 × 7/40 × 7 = 147/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
4/7 = 4 × 40/7 × 40 = 160/280 - Add the two like fractions:
147/280 + 160/280 = 147 + 160/280 = 307/280 - So, 21/40 + 4/7 = 307/280
In mixed form: 127/280
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