6 1/2 divided by 3/4= what

To divide 6 1/2 by 3/4, we need to convert the mixed number 6 1/2 to an improper fraction.

To do this, we multiply the whole number (6) by the denominator of the fraction (2) and add the numerator (1). This gives us:
6 * 2 + 1 = 12 + 1 = 13

Therefore, 6 1/2 can be written as the improper fraction 13/2.

Now we can divide 13/2 by 3/4.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

So, 13/2 ÷ 3/4 can be written as 13/2 * 4/3.

Multiplying the numerators (13 * 4) and denominators (2 * 3) gives us:
(13 * 4) / (2 * 3) = 52/6

Now, we can simplify this fraction by finding the greatest common divisor (GCD) of the numerator (52) and denominator (6), which is 2.

Dividing both the numerator and denominator by 2, we get:
52/6 = (52 ÷ 2) / (6 ÷ 2) = 26/3

Therefore, 6 1/2 divided by 3/4 is equal to 26/3.

To divide 6 1/2 by 3/4, you need to convert the mixed number 6 1/2 to an improper fraction.

To do this, multiply the whole number (6) by the denominator of the fraction (2), and then add the numerator (1). This gives you 12 + 1 = 13.

So, 6 1/2 as an improper fraction is 13/2.

Now, to divide 13/2 by 3/4, you need to multiply the numerator of the first fraction by the reciprocal (flipped) of the second fraction.

13/2 ÷ 3/4 is equal to (13/2) x (4/3).

Now, multiply the numerators (13 x 4) to get 52, and multiply the denominators (2 x 3) to get 6.

So, 13/2 ÷ 3/4 simplifies to 52/6.

To simplify this fraction, find the greatest common divisor (GCD) of 52 and 6, which is 2. Divide both the numerator and denominator by 2 to get the simplified fraction.

Therefore, 52/6 simplifies to 26/3.

Therefore, 6 1/2 divided by 3/4 equals 26/3.

To find the quotient of 6 1/2 divided by 3/4, you need to convert the mixed number into an improper fraction and then perform the division.

First, convert the mixed number 6 1/2 into an improper fraction:
6 1/2 = (6 * 2 + 1)/2 = 13/2

Now, you have the equation: 13/2 divided by 3/4.

To divide fractions, you need to multiply the numerator of the first fraction by the denominator of the second fraction and vice versa. The result will be the new numerator and denominator of the quotient.

So, let's do the calculation:
(13/2) / (3/4) = (13/2) * (4/3)

Now multiply the numerators together: 13 * 4 = 52
And multiply the denominators together: 2 * 3 = 6

So, the quotient is 52/6.

To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 52 and 6 is 2.

Dividing both numerator and denominator by 2, we get:
52/6 = (52/2) / (6/2) = 26/3

Therefore, 6 1/2 divided by 3/4 is equal to 26/3.