What is quotient when you divide -3/4 by 3/8

Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

To divide -3/4 by 3/8, you need to multiply by the reciprocal of the denominator. The reciprocal of 3/8 is 8/3. Therefore, the quotient is:

-3/4 รท 3/8 = -3/4 * 8/3.

When you multiply the numerator and denominator, you get:

(-3 * 8) / (4 * 3) = -24 / 12.

Simplifying the fraction, you get:

-24/12 = -2.

So the quotient of -3/4 divided by 3/8 is -2.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To divide fractions, you need to follow these steps:

Step 1: Flip the second fraction (the divisor) upside down, which means you need to take the reciprocal. In this case, the reciprocal of 3/8 is 8/3.

Step 2: Multiply the first fraction (the dividend) by the reciprocal of the second fraction. So, -3/4 multiplied by 8/3 is:

(-3/4) * (8/3) = -3 * 8 / 4 * 3

Step 3: Simplify the resulting fraction. Let's simplify the numerator first:

-3 * 8 = -24

And the denominator:

4 * 3 = 12

So the simplified result is:

-24/12

Step 4: Further simplify the fraction if possible. Both the numerator and denominator can be divided by 12:

-24/12 = -2/1

Therefore, the quotient of -3/4 divided by 3/8 is -2/1, or simply -2.

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