Add 30/48 and 56/75
30/48 + 56/75 is 823/600.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
30/48 = 30 × 25/48 × 25 = 750/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
56/75 = 56 × 16/75 × 16 = 896/1200 - Add the two like fractions:
750/1200 + 896/1200 = 750 + 896/1200 = 1646/1200 - 1646/1200 simplified gives 823/600
- So, 30/48 + 56/75 = 823/600
In mixed form: 1223/600
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