Add 40/30 and 45/32
1st number: 1 10/30, 2nd number: 1 13/32
40/30 + 45/32 is 263/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
40/30 = 40 × 16/30 × 16 = 640/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
45/32 = 45 × 15/32 × 15 = 675/480 - Add the two like fractions:
640/480 + 675/480 = 640 + 675/480 = 1315/480 - 1315/480 simplified gives 263/96
- So, 40/30 + 45/32 = 263/96
In mixed form: 271/96
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