Division of Mixed Numbers as Fractions
To divide 2 1/3 by 1 2/5, we need to convert both mixed numbers into improper fractions and then perform the division.
Converting Mixed Numbers to Improper Fractions
2 1/3
To convert 2 1/3 into an improper fraction, we multiply the whole number part (2) by the denominator (3) and then add the numerator (1).
2 × 3 + 1 = 7
So, the improper fraction is:
7/3
1 2/5
To convert 1 2/5 into an improper fraction, we multiply the whole number part (1) by the denominator (5) and then add the numerator (2).
1 × 5 + 2 = 7
So, the improper fraction is:
7/5
Performing the Division
Now that we have both mixed numbers converted into improper fractions, we can perform the division.
7/3 ÷ 7/5
To divide two fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
7/3 × 5/7
= 35/21
The result of the division is an improper fraction. We can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 35 and 21 is 7.
35 ÷ 7 = 5 21 ÷ 7 = 3
So, the simplified result is:
5/3
Therefore, 2 1/3 divided by 1 2/5 as a fraction is 5/3.
