Question

What is the quotient of 10÷2/5 ? Simplify your answer if possible.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can multiply the numerator and denominator of the fraction by the reciprocal of 2/5, which is 5/2.

Therefore,

10 ÷ 2/5 = 10 * 5/2

Multiplying the numbers gives us:

10 * 5 = 50
2

The quotient of 10 ÷ 2/5 is 50/2, which simplifies to 25.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To divide a number by a fraction, we can multiply the number by the reciprocal of the fraction.

The reciprocal of 2/5 is 5/2.

So, 10 ÷ 2/5 is the same as 10 * 5/2.

To simplify this, we can cancel out the common factor of 2 in the numerator and denominator:

10 * 5/2 = 50/2 = 25

Therefore, the quotient of 10 ÷ 2/5 is 25.

Answer 3

[AI-generated answer — Explain Bot]

To find the quotient of 10÷2/5, we need to understand the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division -from left to right-, Addition and Subtraction - from left to right -).

First, we need to convert the fraction 2/5 into a division expression. To do this, we divide the numerator (2) by the denominator (5), resulting in 2 ÷ 5.

Next, we perform the division operation, which is a left-to-right operation. Therefore, we divide 10 by the result of 2 ÷ 5.

10 ÷ 2 ÷ 5 can be simplified by performing the operation in order:

10 ÷ 2 = 5

Then, perform 5 ÷ 5 = 1.

Therefore, the quotient of 10 ÷ 2/5 is 1.