Conversion Between 3 1/8 and 1 3/4
In this article, we will discuss the conversion between two mixed numerals: 3 1/8 and 1 3/4. We will explain the steps to convert these mixed numerals to improper fractions and then compare their values.
Converting 3 1/8 to an Improper Fraction
To convert 3 1/8 to an improper fraction, we need to follow these steps:
- Multiply the whole number part (3) by the denominator (8): 3 × 8 = 24
- Add the numerator (1) to the product: 24 + 1 = 25
- Write the result as an improper fraction: 25/8
So, 3 1/8 is equal to 25/8.
Converting 1 3/4 to an Improper Fraction
To convert 1 3/4 to an improper fraction, we need to follow these steps:
- Multiply the whole number part (1) by the denominator (4): 1 × 4 = 4
- Add the numerator (3) to the product: 4 + 3 = 7
- Write the result as an improper fraction: 7/4
So, 1 3/4 is equal to 7/4.
Comparing the Values
Now that we have converted both mixed numerals to improper fractions, we can compare their values:
- 25/8 ≈ 3.125
- 7/4 ≈ 1.75
As we can see, 3 1/8 is greater than 1 3/4.
Conclusion
In conclusion, we have successfully converted 3 1/8 and 1 3/4 to improper fractions and compared their values. This exercise demonstrates the importance of understanding equivalent fractions and their applications in real-world problems.
