Converting Mixed Numbers to Fractions
When it comes to fractions, converting mixed numbers to improper fractions can be a bit tricky. In this article, we'll take a look at how to convert 5/12 x 1 1/3 as a fraction.
What is a Mixed Number?
A mixed number is a combination of a whole number and a fraction. In the case of 1 1/3, the whole number is 1 and the fraction is 1/3.
Converting 1 1/3 to an Improper Fraction
To convert 1 1/3 to an improper fraction, we need to multiply the whole number (1) by the denominator (3) and then add the numerator (1). This gives us:
3/3 + 1/3 = 4/3
So, 1 1/3 is equal to 4/3.
Multiplying 5/12 by 4/3
Now that we have converted 1 1/3 to an improper fraction, we can multiply it by 5/12. To do this, we multiply the numerators (5 and 4) and the denominators (12 and 3):
5 x 4 = 20 12 x 3 = 36
So, 5/12 x 4/3 = 20/36.
Simplifying the Fraction
To simplify the fraction 20/36, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 20 and 36 is 4, so we can divide both numbers by 4:
20 ÷ 4 = 5 36 ÷ 4 = 9
So, 5/12 x 1 1/3 = 5/9.
And there you have it! The result of multiplying 5/12 by 1 1/3 is 5/9.
