Add 10/49 and 40/48
10/49 + 40/48 is 305/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 49 × 48 = 2352,
10/49 = 10 × 48/49 × 48 = 480/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
40/48 = 40 × 49/48 × 49 = 1960/2352 - Add the two like fractions:
480/2352 + 1960/2352 = 480 + 1960/2352 = 2440/2352 - 2440/2352 simplified gives 305/294
- So, 10/49 + 40/48 = 305/294
In mixed form: 111/294
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