Question

Manny runs 15 3/4 miles each week. Zander runs 5/6 as many miles each week as Manny.

How many miles does Zander run each week?
Enter your answer as a mixed number in simplest form
(Its a fraction)

Answer 1

Answer:

Zander runs $13\frac{1}{8}\ miles$ each week.

Step-by-step explanation:

Given :

Manny runs $15\frac{3}{4}$ mile each week

Zander runs $\frac{5}{6}$ as many miles each week as Manny

To find how man miles does Zander run each week.

Solution:

From the given data we can say that Zander runs $\frac{5}{6}$  of the total distance Manny runs.

So, miles run by Zandure can be calculated as:

⇒ $\frac{5}{6}\ of\ 15\frac{3}{4}\ miles$

⇒ $\frac{5}{6}\times15\frac{3}{4}\ miles$

To multiply mixed numbers, we first write them as fractions:

$15\frac{3}{4}=\frac{4(15)+3}{4}=\frac{63}{4}$

So, we have:

⇒ $\frac{5}{6}\times \frac{63}{4}$

On simplifying, we get:

⇒ $\frac{105}{8}\ miles$

Since we need answer in mixed number, so we convert it to mixed number.

On dividing 105 by 8 we get 13 as quotient and 1 as remainder.

So,  ⇒ $\frac{105}{8}\ miles$ $=13\frac{1}{8}\ miles$

Thus, Zander runs $13\frac{1}{8}\ miles$ each week.