Simplifying the Fraction: 1 4/5 x 9/10
When it comes to multiplying mixed numbers and fractions, it's essential to follow the correct order of operations. In this article, we'll break down the step-by-step process to simplify the expression: 1 4/5 x 9/10 as a fraction.
Converting the Mixed Number to an Improper Fraction
First, let's convert the mixed number 1 4/5 to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (5) and then add the numerator (4).
1 × 5 = 5 5 + 4 = 9
So, the mixed number 1 4/5 is equivalent to the improper fraction:
9/5
Multiplying the Fractions
Now, let's multiply the improper fraction 9/5 by the fraction 9/10.
9/5 × 9/10
To multiply fractions, we multiply the numerators (9 and 9) and multiply the denominators (5 and 10).
(9 × 9) / (5 × 10) 81 / 50
Simplifying the Result
The resulting fraction 81/50 is already in its simplest form. Therefore, the final answer is:
81/50
In conclusion, the expression 1 4/5 x 9/10 simplifies to the fraction 81/50.
