Add 7/49 and 24/45
7/49 + 24/45 is 71/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
7/49 = 7 × 45/49 × 45 = 315/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
24/45 = 24 × 49/45 × 49 = 1176/2205 - Add the two like fractions:
315/2205 + 1176/2205 = 315 + 1176/2205 = 1491/2205 - 1491/2205 simplified gives 71/105
- So, 7/49 + 24/45 = 71/105
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