What is important negative 5/9 / 1/5 right the answer as a mixed number
The division of -5/9 by 1/5 can be simplified by multiplying the first fraction by the reciprocal of the second fraction:
(-5/9) / (1/5) = (-5/9) * (5/1) = -25/9
To express -25/9 as a mixed number, divide the numerator (-25) by the denominator (9) and find the remainder:
-25 ÷ 9 = -2 with a remainder of -7
Therefore, the mixed number is -2 - 7/9.
To find the answer to -5/9 divided by 1/5 as a mixed number, you can follow these steps:
Step 1: Convert the fractions to improper fractions.
-5/9 can be written as -45/9.
1/5 can be written as 9/45.
Step 2: Divide the numerators and denominators.
-45/9 divided by 9/45 is equal to (-45/9) ÷ (9/45).
Step 3: Invert the divisor and multiply.
(-45/9) × (45/9).
Step 4: Simplify the fraction.
(-45 × 45) / (9 × 9) = -2025 / 81.
Step 5: Express the fraction as a mixed number.
To convert a fraction to a mixed number, divide the numerator by the denominator.
-2025 ÷ 81 = -25.
The remainder is 0 since 81 divides evenly into 2025.
Therefore, the solution is -25 as a mixed number.
To divide fractions, you can follow these steps to get the answer as a mixed number:
Step 1: Find the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator. So, the reciprocal of 1/5 is 5/1.
Step 2: Multiply the first fraction by the reciprocal of the second fraction. In this case, you need to multiply -5/9 by 5/1. When multiplying fractions, multiply the numerators and multiply the denominators. So, (-5/9) * (5/1) = (-5 * 5) / (9 * 1) = -25/9.
Step 3: Convert the improper fraction -25/9 into a mixed number. To do this, divide the numerator (-25) by the denominator (9). The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fractional part. So, -25 divided by 9 equals -2 with a remainder of 7.
Step 4: Write the mixed number using the whole number part and the fractional part. So, the mixed number is -2 and 7/9.
Therefore, the answer to -5/9 divided by 1/5, expressed as a mixed number, is -2 and 7/9.