Answer:
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Step 1. Convert 3 1/4 to an improper fraction.
3 * 4 + 1/4 - 1 5/8
Step 2. Simplify 3 * 4 to 12
12 + 1/4 - 1 5/8
Step 3. Simplify 12 + 1 to 13
13/4 - 1 5/8
Step 4. Convert 1 5/8 to an improper fraction.
13/4 - 1 * 8 + 5/8
Step 5. Simplify 1 * 8 to 8
13/4 - 8 + 5/8
Step 6. Simplify 8 + 5 to 13
13/4 - 13/8
Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8
LCD = 8
Step 8. Make the denominators the same as the LCD
13 * 2/ 4 * 2 - 13/8
Step 9. Simplify. Denominators are now the same
26/8 - 13/8
Step 10. Join the denominators
26 - 13/8
Step 11. Simplify
13/8
Step 12. Convert to a mixed fraction
1 5/8
Answer:
g = 
Step-by-step explanation:
Given that g varies inversely as h³ then the equation relating them is
g = ← k is the constant of variation
1. Add 5 to both sides
k/3 = 34 + 5
2. Simplify 34 + 5 to 39
k/3 = 39
3. Multiply both side by 3
k = 39 * 3
4. Simplify 39 * 3 to 117
k = 117
The greatest common factor of these three numbers is 4.
In order to find this, we start with factors of the smallest number (12). The factors are listed below.
12, 6, 4, 3, 2, 1
Now we start with the biggest and work our way down until we find something that goes into all 3.
12 does not go in evenly to either 44 or 28, so we can't use that.
6 does not go in evenly to either 44 or 28, so we can't use that.
4 goes in evenly to both as seen below:
44/4 = 11
28/4 = 7
Therefore, 4 is the greatest common factor.
