Question

Divide. Write your answer in simplest form.
7/10 divided by 5/16

Answer 1

To divide fractions, we need to remember the rule: "Dividing by a fraction is the same as multiplying by its reciprocal."

So, to divide 7/10 by 5/16, we can rewrite it as 7/10 * 16/5.

To simplify this fraction, we can cancel out common factors between the numerator (top) and the denominator (bottom). In this case, we can cancel out a factor of 5.

So, we have (7 * 16) / (10 * 1).

Now, we can multiply the numerators and the denominators together: 112 / 10.

To simplify further, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 2.

So, 112 divided by 2 is 56, and 10 divided by 2 is 5.

Therefore, the simplified form of 7/10 divided by 5/16 is 56/5.

Answer 2

`(56)/(25)`

Explanation:

Exact Form:

`(56)/(25)`

Decimal Form:

2.24

Mixed Number Form:

`2(6)/(25)`

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