Add 75/90 and 4/21
75/90 + 4/21 is 43/42.
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,
4/21 = 4 × 30/21 × 30 = 120/630 - Add the two like fractions:
525/630 + 120/630 = 525 + 120/630 = 645/630 - 645/630 simplified gives 43/42
- So, 75/90 + 4/21 = 43/42
In mixed form: 11/42
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