Add 30/10 and 45/42
1st number: 3 0/10, 2nd number: 1 3/42
30/10 + 45/42 is 57/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
30/10 = 30 × 21/10 × 21 = 630/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
630/210 + 225/210 = 630 + 225/210 = 855/210 - 855/210 simplified gives 57/14
- So, 30/10 + 45/42 = 57/14
In mixed form: 41/14
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