Add 40/15 and 45/16
1st number: 2 10/15, 2nd number: 2 13/16
40/15 + 45/16 is 263/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
40/15 = 40 × 16/15 × 16 = 640/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
45/16 = 45 × 15/16 × 15 = 675/240 - Add the two like fractions:
640/240 + 675/240 = 640 + 675/240 = 1315/240 - 1315/240 simplified gives 263/48
- So, 40/15 + 45/16 = 263/48
In mixed form: 523/48
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