Add 7/30 and 75/14
1st number: 7/30, 2nd number: 5 5/14
7/30 + 75/14 is 587/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
7/30 = 7 × 7/30 × 7 = 49/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
75/14 = 75 × 15/14 × 15 = 1125/210 - Add the two like fractions:
49/210 + 1125/210 = 49 + 1125/210 = 1174/210 - 1174/210 simplified gives 587/105
- So, 7/30 + 75/14 = 587/105
In mixed form: 562/105
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