Add 10/45 and 75/42
1st number: 10/45, 2nd number: 1 33/42
10/45 + 75/42 is 253/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
10/45 = 10 × 14/45 × 14 = 140/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
75/42 = 75 × 15/42 × 15 = 1125/630 - Add the two like fractions:
140/630 + 1125/630 = 140 + 1125/630 = 1265/630 - 1265/630 simplified gives 253/126
- So, 10/45 + 75/42 = 253/126
In mixed form: 21/126
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