Add 30/40 and 7/14
30/40 + 7/14 is 5/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
7/14 = 7 × 20/14 × 20 = 140/280 - Add the two like fractions:
210/280 + 140/280 = 210 + 140/280 = 350/280 - 350/280 simplified gives 5/4
- So, 30/40 + 7/14 = 5/4
In mixed form: 11/4
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