Question

How do I do this
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Answer 1

`(15)/(2)` or
`7(1)/(2)`

Explanation:

1. 10 can be rewritten as
`(10)/(1)`.

2. Therefore, the equation can be rewritten as
`(3)/(4) *(10)/(1)`.

3. Multiply across.

• Multiply the numerators across:
  `3*10=30`
• Multiply the denominators across:
  `4*1=4`
• Overall:
  `(3)/(4) *(10)/(1)=(30)/(4)`

4. Simplify the fraction
`(30)/(4)` by finding the greatest common factor of 4 and 30. There greatest common factor is 2. Therefore, we divide both the numerator and denominator by 2.

• 
  `(30/2)/(4/2) =(15)/(2)`
• This is the most simplified version of an improper fraction. If this answer is okay, you can stop here. If you need a mixed fraction, continue to Step 5.

5. Find out what number 2 can be multiplied with to get the closest to 15 without going over. This number would be 7, as
`2*7=14`. Therefore, 7 would be your whole number in the mixed fraction.

6. To get the fraction, we find the numerator by subtracting the numerator of the improper fraction (15) by the product of the whole number (7) and the denominator (2). In other words,
`15-(7*2)=15-14=1`. Therefore, 1 is the numerator, and we keep the old denominator of 2, to get a fraction of
`(1)/(2)`.

7. Add the whole number from Step 5 and the fraction from Step 6 to get a mixed fraction of
`7(1)/(2)`.

Answer 2

7.5 in decimal and 7 1/2 in fraction form