Simplifying Mixed Numbers: 1 1/4 - 2/5 as a Fraction
In this article, we will explore how to simplify the mixed number 1 1/4 - 2/5 as a fraction.
Step 1: Convert the Mixed Number to an Improper Fraction
To simplify the mixed number, we need to convert it to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (4) and add the numerator (1).
1 1/4 = (1 × 4) + 1 = 5/4
Step 2: Convert the Fraction 2/5 to an Improper Fraction
Next, we need to convert the fraction 2/5 to an improper fraction.
2/5 = 2/5 (already in simplest form)
Step 3: Subtract the Fractions
Now, we can subtract the two fractions:
5/4 - 2/5 = ?
To subtract fractions, we need to find the least common multiple (LCM) of the denominators, which is 20. We can then convert both fractions to have a denominator of 20:
5/4 = 25/20 2/5 = 8/20
Now, we can subtract:
25/20 - 8/20 = 17/20
Simplified Answer
The simplified answer is:
1 1/4 - 2/5 = 17/20
Therefore, the simplified fraction of 1 1/4 - 2/5 is 17/20.
