Add 7/40 and 24/27
7/40 + 24/27 is 383/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
7/40 = 7 × 27/40 × 27 = 189/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
24/27 = 24 × 40/27 × 40 = 960/1080 - Add the two like fractions:
189/1080 + 960/1080 = 189 + 960/1080 = 1149/1080 - 1149/1080 simplified gives 383/360
- So, 7/40 + 24/27 = 383/360
In mixed form: 123/360
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