Converting Mixed Numbers to Fractions: 2 1/4 x 2 1/2 x 1 3/4
In this article, we will explore how to convert mixed numbers to fractions and multiply them together. Specifically, we will focus on the expression 2 1/4 x 2 1/2 x 1 3/4.
Converting Mixed Numbers to Fractions
Before we can multiply the mixed numbers together, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Convert 2 1/4 to an Improper Fraction
To convert 2 1/4 to an improper fraction, we multiply the whole number part (2) by the denominator (4) and then add the numerator (1).
2 × 4 = 8 8 + 1 = 9
So, 2 1/4 is equal to 9/4.
Convert 2 1/2 to an Improper Fraction
To convert 2 1/2 to an improper fraction, we multiply the whole number part (2) by the denominator (2) and then add the numerator (1).
2 × 2 = 4 4 + 1 = 5
So, 2 1/2 is equal to 5/2.
Convert 1 3/4 to an Improper Fraction
To convert 1 3/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and then add the numerator (3).
1 × 4 = 4 4 + 3 = 7
So, 1 3/4 is equal to 7/4.
Multiplying the Fractions Together
Now that we have converted each mixed number to an improper fraction, we can multiply them together.
(9/4) × (5/2) × (7/4)
To multiply fractions, we multiply the numerators together and the denominators together.
Numerators: 9 × 5 × 7 = 315 Denominators: 4 × 2 × 4 = 32
So, the result of multiplying the fractions together is 315/32.
Conclusion
In conclusion, we have successfully converted the mixed numbers 2 1/4, 2 1/2, and 1 3/4 to improper fractions and multiplied them together. The final result is 315/32.
