Add 40/30 and 3/49
1st number: 1 10/30, 2nd number: 3/49
40/30 + 3/49 is 205/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
40/30 = 40 × 49/30 × 49 = 1960/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
3/49 = 3 × 30/49 × 30 = 90/1470 - Add the two like fractions:
1960/1470 + 90/1470 = 1960 + 90/1470 = 2050/1470 - 2050/1470 simplified gives 205/147
- So, 40/30 + 3/49 = 205/147
In mixed form: 158/147
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