2 and three-fifths minus 1 and one-fourth equals
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 ÷ 20 = 1 remainder 7.
So, the final result is 1 and seven-twentieths.
To subtract mixed numbers, you need to convert both numbers into improper fractions. Here's how you can do it step-by-step:
Step 1: Convert the whole number into a fraction.
2 can be expressed as 2/1.
Step 2: Multiply the denominator of the whole number by the whole number value and then add the numerator.
For 2/1:
Denominator (1) x Whole number (2) = 1 x 2 = 2
Step 3: Add the numerator from step 2 to the numerator of the fraction.
Adding the numerator (2) from step 2 to the numerator (0) of the fraction gives:
2 + 0 = 2
Therefore, 2 can be represented as an improper fraction: 2/1.
Now, let's convert the mixed numbers into improper fractions:
2 and three-fifths can be written as 2 + 3/5.
Using the steps mentioned above, we get:
1 x 5 + 3 = 5 + 3 = 8.
Thus, 2 and three-fifths can be written as the improper fraction 8/5.
Similarly, 1 and one-fourth can be written as 1 + 1/4.
1 x 4 + 1 = 4 + 1 = 5.
So, 1 and one-fourth can be written in the form of the improper fraction 5/4.
Now, we can subtract the two fractions:
8/5 - 5/4
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 5 and 4 is 20.
Multiplying both the numerator and denominator of the first fraction (8/5) by 4 gives us:
8/5 x 4/4 = 32/20.
Multiplying both the numerator and denominator of the second fraction (5/4) by 5 gives us:
5/4 x 5/5 = 25/20.
Now we can subtract the two fractions:
32/20 - 25/20 = (32 - 25)/20 = 7/20.
Therefore, 2 and three-fifths minus 1 and one-fourth equals 7/20.
To solve this problem, you need to subtract 1 and one-fourth (1 1/4) from 2 and three-fifths (2 3/5). Here are the steps to do the subtraction:
Step 1: Convert mixed fractions to improper fractions.
- 2 and three-fifths (2 3/5) can be written as (2 * 5 + 3)/5 = 13/5.
- 1 and one-fourth (1 1/4) can be written as (1 * 4 + 1)/4 = 5/4.
Step 2: Find a common denominator for both fractions, which is 20 in this case (5 * 4 = 20).
Step 3: Adjust the fractions to have the same denominator.
- Multiply the numerator and denominator of 13/5 by 4 to get 52/20.
- Multiply the numerator and denominator of 5/4 by 5 to get 25/20.
Step 4: Subtract the fractions.
- 52/20 - 25/20 = (52 - 25)/20 = 27/20.
Step 5: Simplify the fraction, if needed.
- The fraction 27/20 cannot be reduced further, so it is the final answer.
Therefore, 2 and three-fifths minus 1 and one-fourth equals 27/20.