To solve the problem, we need to find a common denominator for the fractions. The denominators of the fractions are 2 and 7. The least common multiple (LCM) of 2 and 7 is 14.
Converting 5 and 1/2 to an improper fraction:
5 = 5 * 2/2 = 10/2
So, 5 1/2 = 10/2 + 1/2 = 11/2
Converting 1 and 3/7 to an improper fraction:
1 = 1 * 7/7 = 7/7
So, 1 3/7 = 7/7 + 3/7 = 10/7
Therefore, the problem becomes: 11/2 - 10/7.
Next, we need to find a common denominator for 2 and 7, which is 14.
Multiplying the numerator and denominator of 11/2 by 7, we get:
11/2 * 7/7 = 77/14
Multiplying the numerator and denominator of 10/7 by 2, we get:
10/7 * 2/2 = 20/14
Now, the problem becomes: 77/14 - 20/14.
Subtracting the two fractions, we get:
77/14 - 20/14 = (77 - 20)/14 = 57/14
Therefore, the difference is 57/14.
Henry needs to solve the problem 5 1/2−1 3/7 . What is the difference?
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