Evaluate the numerical expression.
1/2
− (−3/4
)
To evaluate the numerical expression 1/2 - (-3/4), we can simplify it step by step:
First, let's distribute the negative sign to (-3/4):
1/2 + 3/4
To add fractions, we need to have a common denominator. The least common multiple of 2 and 4 is 4. Therefore, we convert both fractions to have a denominator of 4:
1/2 = 2/4
3/4 = 3/4
Now we can add the fractions:
2/4 + 3/4 = 5/4
The final simplified expression is 5/4.
what is 5/4 as a mixed number?
To convert the improper fraction 5/4 into a mixed number, we divide the numerator (5) by the denominator (4):
5 ÷ 4 = 1 remainder 1
The quotient (whole number part) is 1, and the remainder is 1. Therefore, the mixed number equivalent of 5/4 is 1 1/4.
Evaluate this expression.
42.86 − 23.42
To evaluate the numerical expression 42.86 - 23.42, we can subtract the decimal numbers:
42.86 - 23.42 = 19.44
Therefore, the value of the expression 42.86 - 23.42 is 19.44.
Determine the value of the expression –5.45 + 4.12 –8.66.
To determine the value of the expression –5.45 + 4.12 – 8.66, let's simplify it step by step:
–5.45 + 4.12 - 8.66 = -5.45 + 4.12 - 8.66
When subtracting or adding decimals, it is important to line up the decimal points:
-5.45
+ 4.12
- 8.66
_______
-9.99
Therefore, the value of the expression –5.45 + 4.12 – 8.66 is -9.99.
Simplify.
7.829 − 3.21
To simplify the expression 7.829 - 3.21, we subtract the decimal numbers:
7.829 - 3.21 = 4.619
Therefore, the simplified expression is 4.619.
Divide and simplify.
−1/6
÷ 2/9