** Subtracting Mixed Fractions: 3 1/5 minus 1 4/5 as a Fraction **
When working with mixed fractions, subtracting can be a bit more challenging than adding. In this article, we will explore how to subtract 1 4/5 from 3 1/5 and express the result as a fraction.
Converting Mixed Fractions to Improper Fractions
Before we can subtract, we need to convert both mixed fractions to improper fractions.
3 1/5
To convert 3 1/5 to an improper fraction, we multiply the whole number part (3) by the denominator (5) and then add the numerator (1).
3 × 5 = 15 15 + 1 = 16
So, 3 1/5 = 16/5
1 4/5
Similarly, to convert 1 4/5 to an improper fraction, we multiply the whole number part (1) by the denominator (5) and then add the numerator (4).
1 × 5 = 5 5 + 4 = 9
So, 1 4/5 = 9/5
Subtracting the Fractions
Now that we have both fractions in improper form, we can subtract them.
16/5 - 9/5
To subtract fractions with the same denominator, we subtract the numerators and keep the same denominator.
16 - 9 = 7
So, 16/5 - 9/5 = 7/5
Simplifying the Result
The result of the subtraction is an improper fraction, 7/5. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 7 and 5 is 1, so the fraction is already in its simplest form.
Conclusion
In conclusion, 3 1/5 minus 1 4/5 as a fraction is equal to 7/5. By converting both mixed fractions to improper fractions and then subtracting, we can simplify the result to get the final answer.
