Add 16/45 and 40/48
16/45 + 40/48 is 107/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 48 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
16/45 = 16 × 16/45 × 16 = 256/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
40/48 = 40 × 15/48 × 15 = 600/720 - Add the two like fractions:
256/720 + 600/720 = 256 + 600/720 = 856/720 - 856/720 simplified gives 107/90
- So, 16/45 + 40/48 = 107/90
In mixed form: 117/90
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