Add 40/45 and 30/42
40/45 + 30/42 is 101/63.
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,
40/45 = 40 × 14/45 × 14 = 560/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
30/42 = 30 × 15/42 × 15 = 450/630 - Add the two like fractions:
560/630 + 450/630 = 560 + 450/630 = 1010/630 - 1010/630 simplified gives 101/63
- So, 40/45 + 30/42 = 101/63
In mixed form: 138/63
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