Converting Mixed Numbers to Fractions: 1 3/4 x 1 2/4
In this article, we will explore how to convert mixed numbers to fractions, specifically focusing on the multiplication of 1 3/4 and 1 2/4.
What are Mixed Numbers?
Mixed numbers are a combination of a whole number and a fraction. They are often used to represent quantities that are not whole numbers. For example, 1 3/4 is a mixed number, where 1 is the whole number and 3/4 is the fraction.
Converting Mixed Numbers to Fractions
To convert a mixed number to a fraction, we need to multiply the whole number by the denominator of the fraction and then add the numerator. This will give us the equivalent fraction.
Let's take the example of 1 3/4. To convert this to a fraction, we multiply the whole number (1) by the denominator (4) and add the numerator (3):
1 × 4 = 4 4 + 3 = 7
So, the equivalent fraction is 7/4.
Multiplying Mixed Numbers
Now, let's multiply 1 3/4 by 1 2/4. To do this, we need to convert both mixed numbers to fractions and then multiply them.
1 3/4 = 7/4 (as we calculated earlier) 1 2/4 = 6/4 = 3/2 (converting the mixed number to a fraction)
Now, we can multiply the two fractions:
(7/4) × (3/2) = 21/8
Result
The result of multiplying 1 3/4 by 1 2/4 is 21/8.
By following these steps, we can convert mixed numbers to fractions and perform arithmetic operations on them. This is a powerful tool for solving mathematical problems and can be applied to a wide range of situations.
