Add 10/14 and 45/49
10/14 + 45/49 is 80/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
10/14 = 10 × 7/14 × 7 = 70/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
45/49 = 45 × 2/49 × 2 = 90/98 - Add the two like fractions:
70/98 + 90/98 = 70 + 90/98 = 160/98 - 160/98 simplified gives 80/49
- So, 10/14 + 45/49 = 80/49
In mixed form: 131/49
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