What is 4− 1 1/4+1/2
?
To solve this expression, let's simplify each fraction first.
1 1/4 can be written as 5/4 because 1 whole represents 4/4, so adding 1/4 to it gives 5/4.
Thus, the expression becomes:
4 - 5/4 + 1/2
Now, let's find a common denominator to add or subtract the fractions.
The common denominator is 4, so we need to rewrite 1/2 as 2/4.
Now, the expression becomes:
4 - 5/4 + 2/4
Now, the fractions have the same denominator, so we can add or subtract them.
4 - 5/4 + 2/4 = [(4*4) - 5 + 2] / 4
= (16 - 5 + 2) / 4
= (13 + 2) / 4
= 15/4
Therefore, 4 - 1 1/4 + 1/2 is equal to 15/4.
Which of the following expressions represents a number greater than 1? (choose 2
To determine which expressions represent a number greater than 1, we need to evaluate each expression.
1. 3/4
To evaluate this expression, we divide 3 by 4:
3 ÷ 4 = 0.75.
Since 0.75 is less than 1, 3/4 does not represent a number greater than 1.
2. 5/3
To evaluate this expression, we divide 5 by 3:
5 ÷ 3 ≈ 1.67.
Since 1.67 is greater than 1, 5/3 represents a number greater than 1.
3. 7/8
To evaluate this expression, we divide 7 by 8:
7 ÷ 8 ≈ 0.88.
Since 0.88 is less than 1, 7/8 does not represent a number greater than 1.
4. 2/5
To evaluate this expression, we divide 2 by 5:
2 ÷ 5 = 0.4.
Since 0.4 is less than 1, 2/5 does not represent a number greater than 1.
Therefore, the expressions that represent a number greater than 1 are 5/3 and 7/8.
To solve the expression 4 - 1 1/4 + 1/2, we need to carry out the subtraction and addition operations in the correct order.
Step 1: Convert the mixed number 1 1/4 into an improper fraction.
1 1/4 = (1 * 4 + 1) / 4 = 5/4
Now, the expression becomes:
4 - 5/4 + 1/2
Step 2: Find a common denominator for 4 and 1/2, which is 4.
4 = 16/4
Now, the expression becomes:
16/4 - 5/4 + 1/2
Step 3: Subtract and add the fractions with the common denominator of 4.
16/4 - 5/4 + 1/2 = (16 - 5 + 2) / 4 = 13/4
Therefore, the value of the expression 4 - 1 1/4 + 1/2 is 13/4.