Add 70/75 and 49/63
70/75 + 49/63 is 77/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 75 × 21 = 1575,
70/75 = 70 × 21/75 × 21 = 1470/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
49/63 = 49 × 25/63 × 25 = 1225/1575 - Add the two like fractions:
1470/1575 + 1225/1575 = 1470 + 1225/1575 = 2695/1575 - 2695/1575 simplified gives 77/45
- So, 70/75 + 49/63 = 77/45
In mixed form: 132/45
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