Add 49/70 and 21/40
49/70 + 21/40 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 70 × 4 = 280,
49/70 = 49 × 4/70 × 4 = 196/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
21/40 = 21 × 7/40 × 7 = 147/280 - Add the two like fractions:
196/280 + 147/280 = 196 + 147/280 = 343/280 - 343/280 simplified gives 49/40
- So, 49/70 + 21/40 = 49/40
In mixed form: 19/40
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