Converting Mixed Numbers to Fractions: 1 1/4 x 1 3/4
When dealing with mixed numbers, it's essential to know how to convert them into fractions. In this article, we'll explore how to convert the product of two mixed numbers, 1 1/4 and 1 3/4, into a single fraction.
The Mixed Numbers
- 1 1/4: This mixed number consists of a whole number part (1) and a fractional part (1/4).
- 1 3/4: This mixed number consists of a whole number part (1) and a fractional part (3/4).
Converting to Fractions
To convert the mixed numbers to fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 4 is 4.
- 1 1/4 = 5/4 ( Convert 1 to 4/4 and add 1/4)
- 1 3/4 = 7/4 (Convert 1 to 4/4 and add 3/4)
Multiplying the Fractions
Now that we have the fractions, we can multiply them:
(5/4) × (7/4) = 35/16
Simplifying the Fraction
The resulting fraction is 35/16, which is already in its simplest form.
Conclusion
In conclusion, the product of 1 1/4 and 1 3/4 is equal to 35/16 as a fraction. This exercise demonstrates the importance of understanding how to convert mixed numbers to fractions and perform arithmetic operations on them.
