Add 30/4 and 75/42
1st number: 7 2/4, 2nd number: 1 33/42
30/4 + 75/42 is 65/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
30/4 = 30 × 21/4 × 21 = 630/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
75/42 = 75 × 2/42 × 2 = 150/84 - Add the two like fractions:
630/84 + 150/84 = 630 + 150/84 = 780/84 - 780/84 simplified gives 65/7
- So, 30/4 + 75/42 = 65/7
In mixed form: 92/7
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