42 and 1 over 2 divided by 1 and 1 over 4 as a fraction

3 answers

To convert 42 and 1/2 to a fraction, we need to find the equivalent mixed number without any whole numbers.

First, we find the equivalent fraction of the fraction part:
1/2 = 2/4

Next, we add the whole number part to the fraction part:
42 + 2/4 = 42 + 2/4

Now, we can combine the whole number and fraction parts:
42 + 2/4 = 42 + 2/4 = 42 + 1/2

Finally, the given mixed number 42 and 1/2 can be written as a fraction:
42 and 1/2 = (42*2 + 1)/2 = (84 + 1)/2 = 85/2

Therefore, 42 and 1/2 expressed as a fraction is 85/2.

Now, let's divide this fraction by 1 and 1/4:

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

Reciprocal of 1 and 1/4 = 4/5

So, multiplying the fractions together:
(85/2) / (4/5)

= (85/2) * (5/4)

= (85 * 5) / (2 * 4)

= 425/8

Therefore, 42 and 1/2 divided by 1 and 1/4 as a fraction is 425/8.
8 and 1 over 2

34

43 and 3 over 4

53
To divide 8 and 1/2 by 34 as a fraction:

First, convert the mixed number 8 and 1/2 to an improper fraction.

8 and 1/2 = 8 + 1/2 = (8 * 2 + 1)/2 = 17/2

Next, divide the fraction by 34 by multiplying it by the reciprocal of 34.

17/2 รท 34 = 17/2 * 1/34 = 17/68

Therefore, 8 and 1/2 divided by 34 as a fraction is 17/68.

To divide 43 and 3/4 by 53 as a fraction:

First, convert the mixed number 43 and 3/4 to an improper fraction.

43 and 3/4 = 43 + 3/4 = (43 * 4 + 3)/4 = 175/4

Next, divide the fraction 175/4 by 53 by multiplying it by the reciprocal of 53.

175/4 รท 53 = 175/4 * 1/53 = 175/212

Therefore, 43 and 3/4 divided by 53 as a fraction is 175/212.