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RoseWind [281]
3 years ago
11

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

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

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

<em>To multiply mixed numbers, we first write them as fractions:</em>

<em />15\frac{3}{4}=\frac{4(15)+3}{4}=\frac{63}{4}<em />

So, we have:

⇒ \frac{5}{6}\times \frac{63}{4}

On simplifying, we get:

⇒ \frac{105}{8}\ miles

<em>Since we need answer in mixed number, so we convert it to mixed number.</em>

<em>On dividing 105 by 8 we get 13 as quotient and 1 as remainder.</em>

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

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

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