Add 42/45 and 35/42
42/45 + 35/42 is 53/30.
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,
42/45 = 42 × 14/45 × 14 = 588/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
35/42 = 35 × 15/42 × 15 = 525/630 - Add the two like fractions:
588/630 + 525/630 = 588 + 525/630 = 1113/630 - 1113/630 simplified gives 53/30
- So, 42/45 + 35/42 = 53/30
In mixed form: 123/30
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