Add 30/42 and 30/80
30/42 + 30/80 is 61/56.
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,
30/80 = 30 × 21/80 × 21 = 630/1680 - Add the two like fractions:
1200/1680 + 630/1680 = 1200 + 630/1680 = 1830/1680 - 1830/1680 simplified gives 61/56
- So, 30/42 + 30/80 = 61/56
In mixed form: 15/56
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