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?

Respuesta :

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

[tex]9\frac{5}{16}-8\frac{7}{8}[/tex]

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

[tex]9\frac{5}{16}-8\frac{7\times2}{8\times2}=9\frac{5}{16}-8\frac{14}{16}[/tex]

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

[tex]8\frac{5+16}{16}-8\frac{14}{16}=8\frac{21}{16}-8\frac{14}{16}[/tex]

3. Now, subtract the wholes and the fractions

[tex]\begin{gathered} 8-8=0 \\ \frac{21}{16}-\frac{14}{16}=\frac{7}{16} \end{gathered}[/tex]

Then the answer should be 7/16

The answer is A