Subtracting Mixed Fractions: 6 1/5 - 1 3/5
In this article, we will learn how to subtract mixed fractions, specifically 6 1/5 - 1 3/5. We will go through the step-by-step process to find the result in fraction form.
Step 1: Convert Mixed Fractions to Improper Fractions
To subtract mixed fractions, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
6 1/5
To convert 6 1/5 to an improper fraction, we multiply the whole number part (6) by the denominator (5) and then add the numerator (1).
6 × 5 = 30
30 + 1 = 31
So, 6 1/5 = **31/5**
**1 3/5**
To convert 1 3/5 to an improper fraction, we multiply the whole number part (1) by the denominator (5) and then add the numerator (3).
1 × 5 = 5 5 + 3 = 8
So, 1 3/5 = 8/5
Step 2: Subtract the Fractions
Now that we have the improper fractions, we can subtract them.
31/5 - 8/5
To subtract fractions with the same denominator, we subtract the numerators and keep the denominator the same.
31 - 8 = 23
So, **31/5 - 8/5 = 23/5**
**The Final Answer**
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Therefore, 6 1/5 - 1 3/5 in fraction form is **23/5**.