Division of Mixed Numbers: 1 1/3 divided by 1 3/4 as a Fraction
To perform the division of mixed numbers, we need to follow a step-by-step approach. In this article, we will guide you through the process of dividing 1 1/3 by 1 3/4 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Convert 1 1/3 to an Improper Fraction
1 1/3 = (1 × 3) + 1/3 = 4/3
Convert 1 3/4 to an Improper Fraction
1 3/4 = (1 × 4) + 3/4 = 7/4
Step 2: Divide the Improper Fractions
Now that we have converted the mixed numbers to improper fractions, we can divide them.
(4/3) ÷ (7/4) = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
(4/3) × (4/7) = 16/21
Result
Therefore, 1 1/3 divided by 1 3/4 as a fraction is equal to 16/21.
