Add 30/40 and 16/45
30/40 + 16/45 is 199/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
16/45 = 16 × 8/45 × 8 = 128/360 - Add the two like fractions:
270/360 + 128/360 = 270 + 128/360 = 398/360 - 398/360 simplified gives 199/180
- So, 30/40 + 16/45 = 199/180
In mixed form: 119/180
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