What is 3/4 of the original number?

  • MHB
  • Thread starter Marcelo Arevalo
  • Start date
In summary, "3/4 of the number" means to multiply the number by 3/4, which is the same as dividing the number by 4 and then multiplying by 3. To calculate 3/4 of a number, you can either divide the number by 4 and then multiply by 3, or you can multiply the number by 0.75 (which is the decimal form of 3/4). Yes, fractions can be used to represent a part of a number. The numerator (top number) represents the part and the denominator (bottom number) represents the whole. So in the fraction 3/4, 3 represents the part and 4 represents the whole. 3/4 of
  • #1
Marcelo Arevalo
39
0
A number is divided by 3/4 of it. Then the quotient is multiplied by half of the original number. The product equals 64. What is 3/4 of the number?
 
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  • #2
Let x be the number
x / 0.75x = 1 1/3 X
Then 1 1/3 X (1/2X) = 2/3X
and 2/3 X must be = 64
so x = 96

wht is 3/4 of 96? = 72

can anyone help me construct a more polished solution?
thank you.
 
  • #3
I would write:

\(\displaystyle x\cdot\frac{4}{3x}\cdot\frac{1}{2}x=64\)

\(\displaystyle \frac{2}{3}x=64\implies x=3\cdot32=96\)

Hence

\(\displaystyle \frac{3}{4}x=\frac{3}{4}96=3\cdot24=72\)
 

FAQ: What is 3/4 of the original number?

What does "3/4 of the number" mean?

"3/4 of the number" means to multiply the number by 3/4, which is the same as dividing the number by 4 and then multiplying by 3.

How do you calculate 3/4 of a number?

To calculate 3/4 of a number, you can either divide the number by 4 and then multiply by 3, or you can multiply the number by 0.75 (which is the decimal form of 3/4).

Can fractions be used to represent a part of a number?

Yes, fractions can be used to represent a part of a number. The numerator (top number) represents the part and the denominator (bottom number) represents the whole. So in the fraction 3/4, 3 represents the part and 4 represents the whole.

Is 3/4 of a number the same as 75% of the number?

Yes, 3/4 of a number is the same as 75% of the number. To convert a fraction to a percentage, you can multiply the fraction by 100.

Can 3/4 of a number be greater than the number itself?

Yes, 3/4 of a number can be greater than the number itself. This will depend on the value of the number. For example, 3/4 of 8 is 6, which is greater than 8.

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