Add 30/18 and 75/16
1st number: 1 12/18, 2nd number: 4 11/16
30/18 + 75/16 is 305/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 18 × 8 = 144,
30/18 = 30 × 8/18 × 8 = 240/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
75/16 = 75 × 9/16 × 9 = 675/144 - Add the two like fractions:
240/144 + 675/144 = 240 + 675/144 = 915/144 - 915/144 simplified gives 305/48
- So, 30/18 + 75/16 = 305/48
In mixed form: 617/48
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