Add 10/30 and 49/63
10/30 + 49/63 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 63 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 30 × 21 = 630,
10/30 = 10 × 21/30 × 21 = 210/630 - Likewise, for the 2nd fraction, since 63 × 10 = 630,
49/63 = 49 × 10/63 × 10 = 490/630 - Add the two like fractions:
210/630 + 490/630 = 210 + 490/630 = 700/630 - 700/630 simplified gives 10/9
- So, 10/30 + 49/63 = 10/9
In mixed form: 11/9
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