Add 40/45 and 15/49
40/45 + 15/49 is 527/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
15/49 = 15 × 45/49 × 45 = 675/2205 - Add the two like fractions:
1960/2205 + 675/2205 = 1960 + 675/2205 = 2635/2205 - 2635/2205 simplified gives 527/441
- So, 40/45 + 15/49 = 527/441
In mixed form: 186/441
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