Add 21/42 and 32/45
21/42 + 32/45 is 109/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
21/42 = 21 × 15/42 × 15 = 315/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
32/45 = 32 × 14/45 × 14 = 448/630 - Add the two like fractions:
315/630 + 448/630 = 315 + 448/630 = 763/630 - 763/630 simplified gives 109/90
- So, 21/42 + 32/45 = 109/90
In mixed form: 119/90
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