Add 70/45 and 49/84
1st number: 1 25/45, 2nd number: 49/84
70/45 + 49/84 is 77/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
70/45 = 70 × 28/45 × 28 = 1960/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Add the two like fractions:
1960/1260 + 735/1260 = 1960 + 735/1260 = 2695/1260 - 2695/1260 simplified gives 77/36
- So, 70/45 + 49/84 = 77/36
In mixed form: 25/36
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