Add 49/14 and 75/4
1st number: 3 7/14, 2nd number: 18 3/4
49/14 + 75/4 is 89/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 4 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
49/14 = 49 × 2/14 × 2 = 98/28 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
75/4 = 75 × 7/4 × 7 = 525/28 - Add the two like fractions:
98/28 + 525/28 = 98 + 525/28 = 623/28 - 623/28 simplified gives 89/4
- So, 49/14 + 75/4 = 89/4
In mixed form: 221/4
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