Division of Mixed Numbers: 1 2/5 ÷ 1 3/10
Dividing mixed numbers can be a bit tricky, but with the right steps, it can be easily mastered. In this article, we will explore the division of 1 2/5 by 1 3/10 as a fraction.
Step 1: Convert 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.
1 2/5 = 7/5 (convert mixed number to improper fraction) 1 3/10 = 13/10 (convert mixed number to improper fraction)
Step 2: Divide the Improper Fractions
Now, we can divide the two improper fractions:
(7/5) ÷ (13/10) = ?
Step 3: Invert and Multiply
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(7/5) ÷ (13/10) = (7/5) × (10/13)
Step 4: Multiply the Numerators and Denominators
Multiply the numerators and denominators separately:
Numerator: 7 × 10 = 70 Denominator: 5 × 13 = 65
Result
So, 1 2/5 divided by 1 3/10 is equivalent to:
70/65
We can simplify this fraction further:
Simplified Result
The simplified result is:
14/13
And there you have it! 1 2/5 divided by 1 3/10 as a fraction is equal to 14/13.
