Add 30/42 and 45/80
30/42 + 45/80 is 143/112.
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,
45/80 = 45 × 21/80 × 21 = 945/1680 - Add the two like fractions:
1200/1680 + 945/1680 = 1200 + 945/1680 = 2145/1680 - 2145/1680 simplified gives 143/112
- So, 30/42 + 45/80 = 143/112
In mixed form: 131/112
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