Dividing Mixed Numbers: 2 1/5 ÷ 1 1/3 as a Fraction
Introduction
In this article, we will explore how to divide mixed numbers, specifically 2 1/5 divided by 1 1/3 as a fraction. Dividing mixed numbers can be a bit tricky, but with a simple step-by-step process, you can master this skill.
Converting Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Converting 2 1/5 to an Improper Fraction
To convert 2 1/5 to an improper fraction, we multiply the whole number part (2) by the denominator (5) and then add the numerator (1).
2 × 5 = 10 10 + 1 = 11
So, 2 1/5 is equal to 11/5.
Converting 1 1/3 to an Improper Fraction
To convert 1 1/3 to an improper fraction, we multiply the whole number part (1) by the denominator (3) and then add the numerator (1).
1 × 3 = 3 3 + 1 = 4
So, 1 1/3 is equal to 4/3.
Dividing Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can divide them.
11/5 ÷ 4/3 = ?
To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
11/5 × 3/4 = ?
Multiply the numerators and multiply the denominators.
11 × 3 = 33 5 × 4 = 20
So, 2 1/5 divided by 1 1/3 is equal to 33/20.
Conclusion
Dividing mixed numbers can be challenging, but by converting them to improper fractions and then dividing, you can simplify the process. Remember to invert the second fraction and multiply to get the correct result. In this case, 2 1/5 divided by 1 1/3 is equal to 33/20.
