Add 49/40 and 54/84
1st number: 1 9/40, 2nd number: 54/84
49/40 + 54/84 is 523/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
49/40 = 49 × 21/40 × 21 = 1029/840 - Likewise, for the 2nd fraction, since 84 × 10 = 840,
54/84 = 54 × 10/84 × 10 = 540/840 - Add the two like fractions:
1029/840 + 540/840 = 1029 + 540/840 = 1569/840 - 1569/840 simplified gives 523/280
- So, 49/40 + 54/84 = 523/280
In mixed form: 1243/280
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