5 3/7 - 2 1/2
a
3 2/5
b
2 13/14
c
3 1/14
d
2 2/5
To subtract 2 1/2 from 5 3/7, we need to find a common denominator.
The denominators are 7 and 2, so the common denominator is 7 * 2 = 14.
Rewriting the mixed numbers with the common denominator:
5 3/7 = 5 * 7/7 + 3/7 = 35/7 + 3/7 = 38/7
2 1/2 = 2 * 2/2 + 1/2 = 4/2 + 1/2 = 5/2
Now, subtracting the fractions:
38/7 - 5/2
To find a common denominator for 7 and 2, we multiply them together: 7 * 2 = 14.
Rewriting the fractions with the common denominator:
38/7 = 38 * 2/7 * 2 = 76/14
5/2 = 5 * 7/2 * 7 = 35/14
Now, we can subtract the fractions:
76/14 - 35/14 = (76 - 35)/14 = 41/14
Therefore, 5 3/7 - 2 1/2 = 3 13/14, which can also be written as 3 1/14.