Division of Mixed Numbers: 2 1/7 divided by 1 2/5
In this article, we will explore the process of dividing mixed numbers. Specifically, we will learn how to divide 2 1/7 by 1 2/5.
Converting Mixed Numbers to Improper Fractions
To perform the division, we need to convert the mixed numbers to improper fractions.
2 1/7
- Convert the whole number part to an improper fraction: 2 = 14/7
- Add the fractional part: 14/7 + 1/7 = 15/7
So, 2 1/7 is equal to 15/7.
1 2/5
- Convert the whole number part to an improper fraction: 1 = 5/5
- Add the fractional part: 5/5 + 2/5 = 7/5
So, 1 2/5 is equal to 7/5.
Dividing Fractions
Now that we have converted both mixed numbers to improper fractions, we can perform the division.
15/7 ÷ 7/5
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
- Invert the second fraction: 7/5 becomes 5/7
- Multiply the fractions: 15/7 × 5/7 = 75/49
So, 2 1/7 divided by 1 2/5 is equal to 75/49.
Simplifying the Result
The result, 75/49, is already in its simplest form. Therefore, our final answer is:
2 1/7 divided by 1 2/5 = 75/49
In conclusion, we have successfully divided 2 1/7 by 1 2/5 using the steps outlined above.
