2 and three-fifths minus 1 and one-fourth equals(1 point)
Responses
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To subtract mixed numbers, first convert them to improper fractions.
2 and three-fifths becomes 2 + 3/5, which is (2*5 + 3)/5 = 13/5.
1 and one-fourth becomes 1 + 1/4, which is (1*4 + 1)/4 = 5/4.
Now subtract the two fractions:
13/5 - 5/4
To subtract fractions, the denominators should be the same. Since the denominators are 5 and 4, we need to find a common denominator, which is 20.
13/5 becomes (13*4)/20 = 52/20.
5/4 becomes (5*5)/20 = 25/20.
Now subtract the fractions:
52/20 - 25/20 = (52 - 25)/20 = 27/20.
So, 2 and three-fifths minus 1 and one-fourth equals 27/20.
2 and three-fifths minus 1 and one-fourth equals(1 point)
Responses
To subtract mixed numbers, first convert them to improper fractions.
2 and three-fifths becomes 2 + 3/5, which is equal to (2 * 5 + 3) / 5 = 13/5.
1 and one-fourth becomes 1 + 1/4, which is equal to (1 * 4 + 1) / 4 = 5/4.
Now subtract the two fractions:
13/5 - 5/4
To subtract fractions, you need to have a common denominator. Since 5 and 4 are not multiples of each other, we can find a common denominator by multiplying them: 5 * 4 = 20.
Now we need to convert the fractions to have a denominator of 20:
13/5 = (13 * 4) / (5 * 4) = 52/20
5/4 = (5 * 5) / (4 * 5) = 25/20
Now we can subtract the fractions:
52/20 - 25/20 = (52 - 25) / 20 = 27/20
So, 2 and three-fifths minus 1 and one-fourth equals 27/20.
To subtract mixed numbers, follow these steps:
1. Convert the mixed numbers to improper fractions.
- To convert 2 and three-fifths to an improper fraction, multiply the whole number (2) by the denominator (5), and add the numerator (3):
2 * 5 + 3 = 13
So, 2 and three-fifths as an improper fraction is 13/5.
- To convert 1 and one-fourth to an improper fraction, multiply the whole number (1) by the denominator (4), and add the numerator (1):
1 * 4 + 1 = 5
So, 1 and one-fourth as an improper fraction is 5/4.
2. Find a common denominator for the fractions, if necessary.
- In this case, 5 and 4 are already the denominators, so no further action is needed.
3. Subtract the fractions.
- Subtract the numerators and keep the denominator the same:
13/5 - 5/4 = (13 * 4 - 5 * 5) / (5 * 4) = (52 - 25) / 20 = 27/20.
4. Simplify, if possible.
- To simplify the fraction 27/20, find the greatest common divisor (GCD) of 27 and 20, which is 1. Divide both the numerator and denominator by the GCD:
27 ÷ 1 / 20 ÷ 1 = 27/20.
So, 2 and three-fifths minus 1 and one-fourth equals 27/20.
To subtract mixed numbers, we need to convert them into improper fractions first.
First, let's convert 2 and three-fifths to an improper fraction. Multiply the whole number (2) by the denominator of the fraction (5), and add the numerator (3). Then, put the result as the numerator over the original denominator.
So, 2 and three-fifths is equal to (2 * 5 + 3) / 5 = (10 + 3) / 5 = 13 / 5.
Next, let's convert 1 and one-fourth to an improper fraction. Following the same steps, we get (1 * 4 + 1) / 4 = (4 + 1) / 4 = 5 / 4.
Now, we can subtract the two improper fractions. Subtract the numerators and keep the common denominator.
(13 / 5) - (5 / 4) = (13 * 4 - 5 * 5) / (5 * 4) = (52 - 25) / 20 = 27 / 20.
Therefore, 2 and three-fifths minus 1 and one-fourth is equal to 27 / 20.