What is the quotient of -5/9 divide 1/5? Write the answer as a mixed number
To find the quotient of two fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/5 is 5/1.
So, -5/9 divided by 1/5 can be written as:
-5/9 * 5/1
Multiplying these fractions gives us:
(-5 * 5) / (9 * 1) = -25/9
To write the answer in mixed number form, we divide the numerator (-25) by the denominator (9) and find the whole number and the remainder.
-25 divided by 9 is -2 with a remainder of 7.
Therefore, the quotient of -5/9 divided by 1/5 as a mixed number is -2 and 7/9.
To find the quotient of -5/9 divided by 1/5, we need to follow these steps:
Step 1: Multiply the dividend by the reciprocal of the divisor.
Reciprocal of 1/5 = 5/1.
-5/9 * 5/1
Step 2: Multiply the numerators together.
-5 * 5 = -25
Step 3: Multiply the denominators together.
9 * 1 = 9
Step 4: Simplify the fraction if possible.
-25/9 cannot be simplified further.
The quotient is -25/9.
To write it as a mixed number, we need to divide the numerator by the denominator and express the remainder as a fraction.
Step 5: Divide the numerator (-25) by the denominator (9).
-25 ÷ 9 = -2 remainder 7
Step 6: Write the mixed number.
The quotient is -2 and 7/9.
Therefore, the quotient of -5/9 divided by 1/5 is -2 7/9.
To find the quotient of -5/9 divided by 1/5, you need to follow these steps:
Step 1: Invert the divisor (the number you are dividing by). In this case, the divisor is 1/5, so we need to find its reciprocal, which is 5/1.
Step 2: Multiply the dividend (the number being divided) by the reciprocal of the divisor. In this case, the dividend is -5/9, and the reciprocal of 1/5 is 5/1.
(-5/9) * (5/1) = (-5 * 5) / (9 * 1) = -25/9.
Step 3: Convert the resulting fraction into a mixed number. To do this, divide the numerator by the denominator. In this case, -25 ÷ 9 equals -2 remainder 7. Therefore, the quotient is -2 and 7/9.
Hence, the quotient of -5/9 divided by 1/5 is -2 7/9.