Add 70/49 and 54/40
1st number: 1 21/49, 2nd number: 1 14/40
70/49 + 54/40 is 389/140.
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,
70/49 = 70 × 40/49 × 40 = 2800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
54/40 = 54 × 49/40 × 49 = 2646/1960 - Add the two like fractions:
2800/1960 + 2646/1960 = 2800 + 2646/1960 = 5446/1960 - 5446/1960 simplified gives 389/140
- So, 70/49 + 54/40 = 389/140
In mixed form: 2109/140
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