John is cooking cupcakes, the recipe calls for 3 3/10 cup of flour. He accidentally put in 3 5/8 cups.. how many extra cups did he put in?

Answer 1

To find the extra cups John put in, we need to subtract the requested amount from the amount he put in.

3 5/8 cups can be written as an improper fraction: 3 5/8 = 29/8 cups.

Therefore, the extra cups John put in are 29/8 - 3 3/10 cups.

We should first convert 3 3/10 cups to an improper fraction.
3 3/10 = (3 * 10 + 3) / 10 = 33/10.

Now, we can subtract: 29/8 - 33/10.

To get a common denominator, we multiply the numerator and denominator of the first fraction by 10, and the numerator and denominator of the second fraction by 8.
(29/8) * (10/10) = 290/80, and (33/10) * (8/8) = 264/80.

Therefore, 29/8 - 33/10 = 290/80 - 264/80 = (290 - 264) / 80 = 26/80.

Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
26/80 = (26/2) / (80/2) = 13/40.

So, John put in an extra 13/40 cups of flour.