Add 30/42 and 40/48
30/42 + 40/48 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
30/42 = 30 × 8/42 × 8 = 240/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
40/48 = 40 × 7/48 × 7 = 280/336 - Add the two like fractions:
240/336 + 280/336 = 240 + 280/336 = 520/336 - 520/336 simplified gives 65/42
- So, 30/42 + 40/48 = 65/42
In mixed form: 123/42
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