Add 40/84 and 54/45
1st number: 40/84, 2nd number: 1 9/45
40/84 + 54/45 is 176/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
54/45 = 54 × 28/45 × 28 = 1512/1260 - Add the two like fractions:
600/1260 + 1512/1260 = 600 + 1512/1260 = 2112/1260 - 2112/1260 simplified gives 176/105
- So, 40/84 + 54/45 = 176/105
In mixed form: 171/105
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