Add 20/30 and 45/16
1st number: 20/30, 2nd number: 2 13/16
20/30 + 45/16 is 167/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
20/30 = 20 × 8/30 × 8 = 160/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
45/16 = 45 × 15/16 × 15 = 675/240 - Add the two like fractions:
160/240 + 675/240 = 160 + 675/240 = 835/240 - 835/240 simplified gives 167/48
- So, 20/30 + 45/16 = 167/48
In mixed form: 323/48
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