Add 40/90 and 9/42
40/90 + 9/42 is 83/126.
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,
40/90 = 40 × 7/90 × 7 = 280/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
9/42 = 9 × 15/42 × 15 = 135/630 - Add the two like fractions:
280/630 + 135/630 = 280 + 135/630 = 415/630 - 415/630 simplified gives 83/126
- So, 40/90 + 9/42 = 83/126
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