Question

Braden jumped 9 5/16 feet in the long jump. jordan jumped 8 7/8 feet. how much farther did braden jump than jordan? the options were A. 7/16 of a footB. 9/16 of a footC. 1 7/16 of a footD. 1 9/16After completing the mathematics my result was 1 7/16apparently the 2 possible answers are A or CWhat did I do wrong?

Answer 1

When you subtract 2 mixed numbers we can change them to improper fractions then subtract them or subtract the wholes and the fractions

Let us do that

`9(5)/(16)-8(7)/(8)`

1. Multiply the second fraction by 2 up and down to make the denominator = 16 as the denominator of the first fraction

`9(5)/(16)-8(7*2)/(8*2)=9(5)/(16)-8(14)/(16)`

2. Since 5 is less than 14, then we must borrow 1 from 9 and change it to 16/16 and add it to 5/16

`8(5+16)/(16)-8(14)/(16)=8(21)/(16)-8(14)/(16)`

3. Now, subtract the wholes and the fractions

`\begin{gathered} 8-8=0 \\ (21)/(16)-(14)/(16)=(7)/(16) \end{gathered}`

Then the answer should be 7/16

The answer is A