Add 10/40 and 54/49
1st number: 10/40, 2nd number: 1 5/49
10/40 + 54/49 is 265/196.
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,
10/40 = 10 × 49/40 × 49 = 490/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
54/49 = 54 × 40/49 × 40 = 2160/1960 - Add the two like fractions:
490/1960 + 2160/1960 = 490 + 2160/1960 = 2650/1960 - 2650/1960 simplified gives 265/196
- So, 10/40 + 54/49 = 265/196
In mixed form: 169/196
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