To subtract mixed numbers, you first need to convert them to improper fractions.
For 2 and three-fifths:
2 is the whole number, and 3 is the numerator. The denominator remains the same, which is 5. So, 2 and three-fifths can be written as (2 * 5 + 3) / 5 = 13/5.
For 1 and one-fourth:
1 is the whole number, and 1 is the numerator. The denominator remains the same, which is 4. So, 1 and one-fourth can be written as (1 * 4 + 1) / 4 = 5/4.
Now we can subtract the fractions:
(13/5) - (5/4)
To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 5 and 4 is 20.
Therefore, we need to convert both fractions so that the denominators are 20.
For (13/5):
(13/5) * (4/4) = 52/20
For (5/4):
(5/4) * (5/5) = 25/20
Now, we can subtract the fractions:
52/20 - 25/20 = (52 - 25) / 20 = 27/20
The result is 27/20. However, since it is an improper fraction, it can be changed back to a mixed number by dividing the numerator by the denominator:
27 รท 20 = 1 remainder 7.
So, the final result is 1 and seven-twentieths.
2 and three-fifths minus 1 and one-fourth equals
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