Add 60/90 and 75/42
1st number: 60/90, 2nd number: 1 33/42
60/90 + 75/42 is 103/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
60/90 = 60 × 7/90 × 7 = 420/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
75/42 = 75 × 15/42 × 15 = 1125/630 - Add the two like fractions:
420/630 + 1125/630 = 420 + 1125/630 = 1545/630 - 1545/630 simplified gives 103/42
- So, 60/90 + 75/42 = 103/42
In mixed form: 219/42
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