Add 14/7 and 75/40
1st number: 2 0/7, 2nd number: 1 35/40
14/7 + 75/40 is 31/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
14/7 = 14 × 40/7 × 40 = 560/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Add the two like fractions:
560/280 + 525/280 = 560 + 525/280 = 1085/280 - 1085/280 simplified gives 31/8
- So, 14/7 + 75/40 = 31/8
In mixed form: 37/8
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