Question

Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his math test? (Simplify the answer and write it as a mixed number.)

Answer 1

Answer:

$1 \frac{5}{14}$, $\frac{19}{14}$

Step-by-step explanation:

How much longer did he study for his math test?

$E=3\frac{6}{7}$

$M=5\frac{3}{14}$

$x=difference$

An equation for this would resemble this:

$M- E=x$

Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2.     $\frac{6(2)}{7(2)}=\frac{12}{14}$

Now we can solve the equation:

$5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}$

$1 \frac{5}{14}$, as a mixed number

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