Subtracting Mixed Numbers: 3 3/7 - 1 6/7 as a Fraction
In this article, we will learn how to subtract mixed numbers, specifically 3 3/7 - 1 6/7, and express the result as a fraction.
Understanding Mixed Numbers
Before we dive into the subtraction, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 3 3/7 is a mixed number, where 3 is the whole number part and 3/7 is the fraction part.
Converting Mixed Numbers to Improper Fractions
To subtract mixed numbers, 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.
Converting 3 3/7 to an Improper Fraction
To convert 3 3/7 to an improper fraction, we multiply the whole number part (3) by the denominator (7) and then add the numerator (3).
3 × 7 = 21 21 + 3 = 24
So, 3 3/7 is equivalent to the improper fraction 24/7.
Converting 1 6/7 to an Improper Fraction
Similarly, we can convert 1 6/7 to an improper fraction:
1 × 7 = 7 7 + 6 = 13
So, 1 6/7 is equivalent to the improper fraction 13/7.
Subtracting Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can subtract them.
24/7 - 13/7 = ?
To subtract fractions, we need to have the same denominator. In this case, the denominators are already the same (7). So, we can subtract the numerators:
24 - 13 = 11
Thus, the result of subtracting the improper fractions is:
11/7
Simplifying the Fraction
The resulting fraction, 11/7, is already in its simplest form. So, we don't need to simplify it further.
Final Answer
Therefore, 3 3/7 - 1 6/7 as a fraction is equal to:
11/7
I hope this article has helped you understand how to subtract mixed numbers and express the result as a fraction!
