Add 30/4 and 75/7
1st number: 7 2/4, 2nd number: 10 5/7
30/4 + 75/7 is 255/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
30/4 = 30 × 7/4 × 7 = 210/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
75/7 = 75 × 4/7 × 4 = 300/28 - Add the two like fractions:
210/28 + 300/28 = 210 + 300/28 = 510/28 - 510/28 simplified gives 255/14
- So, 30/4 + 75/7 = 255/14
In mixed form: 183/14
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