Add 30/63 and 75/70
1st number: 30/63, 2nd number: 1 5/70
30/63 + 75/70 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 63 × 10 = 630,
30/63 = 30 × 10/63 × 10 = 300/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
75/70 = 75 × 9/70 × 9 = 675/630 - Add the two like fractions:
300/630 + 675/630 = 300 + 675/630 = 975/630 - 975/630 simplified gives 65/42
- So, 30/63 + 75/70 = 65/42
In mixed form: 123/42
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