Add 45/60 and 30/42
45/60 + 30/42 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
45/60 = 45 × 7/60 × 7 = 315/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Add the two like fractions:
315/420 + 300/420 = 315 + 300/420 = 615/420 - 615/420 simplified gives 41/28
- So, 45/60 + 30/42 = 41/28
In mixed form: 113/28
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