Add 45/16 and 40/45
1st number: 2 13/16, 2nd number: 40/45
45/16 + 40/45 is 533/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 45 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 16 × 45 = 720,
45/16 = 45 × 45/16 × 45 = 2025/720 - Likewise, for the 2nd fraction, since 45 × 16 = 720,
40/45 = 40 × 16/45 × 16 = 640/720 - Add the two like fractions:
2025/720 + 640/720 = 2025 + 640/720 = 2665/720 - 2665/720 simplified gives 533/144
- So, 45/16 + 40/45 = 533/144
In mixed form: 3101/144
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