Add 40/45 and 42/48
40/45 + 42/48 is 127/72.
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,
40/45 = 40 × 16/45 × 16 = 640/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
42/48 = 42 × 15/48 × 15 = 630/720 - Add the two like fractions:
640/720 + 630/720 = 640 + 630/720 = 1270/720 - 1270/720 simplified gives 127/72
- So, 40/45 + 42/48 = 127/72
In mixed form: 155/72
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