Add 30/21 and 40/24
1st number: 1 9/21, 2nd number: 1 16/24
30/21 + 40/24 is 65/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
30/21 = 30 × 8/21 × 8 = 240/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168 - Add the two like fractions:
240/168 + 280/168 = 240 + 280/168 = 520/168 - 520/168 simplified gives 65/21
- So, 30/21 + 40/24 = 65/21
In mixed form: 32/21
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