1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
When we simplify the expression, we add and subtract the fractions in the following order:
1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5
First, we add the fractions with like denominators:
1/4 - 1/4 - 1/4 + 1/2 + 3/5 + 2/5
This simplifies to:
0 - 1/4 + 1/2 + 3/5 + 2/5
We can add the fractions horizontally:
0 - 1/4 + 1/2 + 3/5 + 2/5
= 0 - 1/4 + 5/10 + 6/10 + 4/10
= 0 + (5/10 + 6/10 + 4/10) - 1/4
= 0 + 15/10 - 1/4
Now, let's find a common denominator for 10 and 4, which is 20:
= 0 + (15/10 * 2/2) - (1/4 * 5/5)
= 0 + 30/20 - 5/20
Finally, we can add the fractions:
= (30/20 - 5/20)
= 25/20
Simplifying this fraction:
= 5/4
Therefore, the simplified expression is 5/4.
as amixed number?
To express the fraction 5/4 as a mixed number, we can divide the numerator (5) by the denominator (4):
5 ÷ 4 = 1 with a remainder of 1.
The whole number part is 1, and the remainder (1) becomes the numerator of the fraction part. The denominator remains the same.
Therefore, the fraction 5/4 expressed as a mixed number is:
1 1/4
Consider this expression:
1/4 − 0.5 + 1/2− 0.25 + 3/5+ 0.4
Find the sum.
Responses
A 0
B 1
C 1 1/2
D 1/2
To find the sum of the expression, we simply add all the numbers together:
1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4
First, let's convert all the decimals to fractions to ensure a common format:
1/4 - 1/2 + 1/2 - 1/4 + 3/5 + 2/5
Now, let's add the fractions:
(1/4 - 1/4) + (1/2 + 1/2) + (3/5 + 2/5)
The terms 1/4 and -1/4 cancel each other out, as do 1/2 and 1/2, simplifying to:
0 + 1 + 1 + 5/5
The fraction 5/5 is equivalent to 1, so the sum is:
0 + 1 + 1 + 1 = 3
Therefore, the sum of the expression is 3. The correct answer choice is A) 0.
To solve the expression 1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5, you need to simplify it step by step.
Step 1: Combine like terms
1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5
= (1/4 - 1/4 - 1/4) + 1/2 + (3/5 + 2/5)
Step 2: Simplify fractions with the same denominator
= (0 - 1/4 - 1/4) + 1/2 + (3/5 + 2/5)
= -2/4 + 1/2 + 5/5
Step 3: Add or subtract fractions
= (-2/4 + 2/4) + 5/5
= 0 + 5/5
Step 4: Simplify the fraction
= 5/5 = 1
Therefore, the expression 1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5 simplifies to 1.
To solve the expression 1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5, we can follow these steps:
Step 1: Combine like terms with the same denominators.
1/4 - 1/4 - 1/4 + 1/2 + 3/5 + 2/5
Since the first three terms have a denominator of 4, we can add them together:
(-1/4) + (-1/4) + (-1/4) = -3/4
Step 2: Combine like terms with the same denominators.
-3/4 + 1/2 + 3/5 + 2/5
Since the last two terms have a denominator of 5, we can add them together:
(3/5) + (2/5) = 5/5 = 1
Step 3: Combine all the simplified terms.
-3/4 + 1/2 + 1
To add or subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4. We can rewrite 1/2 as 2/4:
-3/4 + 2/4 + 1
Now we can add the fractions together:
(-3/4) + (2/4) + 1 = -1/4 + 1 = 1 - 1/4
The expression simplifies to 1 - 1/4, which is equal to 3/4.
Therefore, the value of 1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5 is 3/4.