Add 10/15 and 40/49
10/15 + 40/49 is 218/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
10/15 = 10 × 49/15 × 49 = 490/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
40/49 = 40 × 15/49 × 15 = 600/735 - Add the two like fractions:
490/735 + 600/735 = 490 + 600/735 = 1090/735 - 1090/735 simplified gives 218/147
- So, 10/15 + 40/49 = 218/147
In mixed form: 171/147
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