4/5 Divided by 9/10 as a Fraction
To divide two fractions, we need to follow a simple rule: invert and multiply. This means that we need to flip the second fraction (i.e., change it to its reciprocal) and then multiply it with the first fraction.
The Problem: 4/5 ÷ 9/10
Let's break down the problem:
Dividend: 4/5 Divisor: 9/10
Step 1: Invert the Divisor
To invert the divisor, we flip it upside down:
9/10 becomes 10/9
Step 2: Multiply the Dividend and the Inverted Divisor
Now, we multiply the dividend with the inverted divisor:
(4/5) × (10/9)
Step 3: Multiply the Numerators and Denominators
Multiply the numerators (numbers on top):
4 × 10 = 40
Multiply the denominators (numbers on the bottom):
5 × 9 = 45
The Result: 40/45
So, the result of dividing 4/5 by 9/10 is:
40/45
Simplifying the Fraction (Optional)
We can simplify the fraction 40/45 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5.
40 ÷ 5 = 8 45 ÷ 5 = 9
So, the simplified result is:
8/9
There you have it! The result of dividing 4/5 by 9/10 as a fraction is 40/45, which can be simplified to 8/9.
