6 1/2 divided by 3/4= what

Answer 1

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.