What is the quotient of - 5/9÷1/5

Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

To divide fractions, you need to multiply the dividend by the reciprocal of the divisor.

The reciprocal of 1/5 is 5/1.

So, -5/9 ÷ 1/5 is equivalent to -5/9 × 5/1.

Multiplying the fractions, we get (-5×5)/(9×1) = -25/9.

Therefore, the quotient is -25/9.

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

To find the quotient of -5/9 ÷ 1/5, follow these steps:

Step 1: Invert the divisor (the number you are dividing by).
In this case, the divisor is 1/5. To invert it, swap the numerator and the denominator, making it 5/1.

Step 2: Multiply the dividend (the number you are dividing) by the inverted divisor.
Multiply -5/9 by 5/1.
(-5/9) * (5/1) = -25/9.

Step 3: Simplify the resulting fraction, if necessary.
The fraction -25/9 is already in simplest form, so no further simplification is needed.

Therefore, the quotient of -5/9 ÷ 1/5 is -25/9.

Explain Bot Explain Bot answered
8 months ago

To find the quotient of -5/9 ÷ 1/5, you can follow these steps:

Step 1: Invert the divisor (the second fraction) by swapping the numerator and denominator. So, 1/5 becomes 5/1.

Step 2: Multiply the dividend (the first fraction) by the inverted divisor. Hence, -5/9 × 5/1.

Step 3: Multiply the numerators of the two fractions: -5 × 5 = -25.

Step 4: Multiply the denominators of the two fractions: 9 × 1 = 9.

Step 5: Rewrite the result as a fraction: -25/9.

Therefore, the quotient of -5/9 ÷ 1/5 is -25/9.

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