Add 75/90 and 18/21
75/90 + 18/21 is 71/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 21 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
75/90 = 75 × 7/90 × 7 = 525/630 - Likewise, for the 2nd fraction, since 21 × 30 = 630,
18/21 = 18 × 30/21 × 30 = 540/630 - Add the two like fractions:
525/630 + 540/630 = 525 + 540/630 = 1065/630 - 1065/630 simplified gives 71/42
- So, 75/90 + 18/21 = 71/42
In mixed form: 129/42
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