Add 10/15 and 45/49
10/15 + 45/49 is 233/147.
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,
45/49 = 45 × 15/49 × 15 = 675/735 - Add the two like fractions:
490/735 + 675/735 = 490 + 675/735 = 1165/735 - 1165/735 simplified gives 233/147
- So, 10/15 + 45/49 = 233/147
In mixed form: 186/147
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