Add 36/42 and 40/90
36/42 + 40/90 is 82/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
36/42 = 36 × 15/42 × 15 = 540/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
40/90 = 40 × 7/90 × 7 = 280/630 - Add the two like fractions:
540/630 + 280/630 = 540 + 280/630 = 820/630 - 820/630 simplified gives 82/63
- So, 36/42 + 40/90 = 82/63
In mixed form: 119/63
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