Add 30/42 and 35/80
30/42 + 35/80 is 129/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 42 × 40 = 1680,
30/42 = 30 × 40/42 × 40 = 1200/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
35/80 = 35 × 21/80 × 21 = 735/1680 - Add the two like fractions:
1200/1680 + 735/1680 = 1200 + 735/1680 = 1935/1680 - 1935/1680 simplified gives 129/112
- So, 30/42 + 35/80 = 129/112
In mixed form: 117/112
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