John's cooking cupcakes the recipe called for 3 and 3/10 cups of flower he accidentally put 3 and 5/8 cups of flour how many extra cups to John put in

1 answer

To find the extra cups of flour John put in, we need to find the difference between the correct amount of flour (3 and 3/10 cups) and the amount John actually put in (3 and 5/8 cups).

First, let's convert the mixed numbers to improper fractions:
3 and 3/10 = (10*3 + 3)/10 = 33/10
3 and 5/8 = (8*3 + 5)/8 = 29/8

Now, let's subtract the two fractions:
33/10 - 29/8

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 10*8 = 80.

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

Since -26/80 is a negative fraction, we know that John put in less flour than the recipe called for. To find the extra cups he put in, we need to find the absolute value of -26/80:

|-26/80| = 26/80

Therefore, John put in 26/80 cups of extra flour, which can be reduced to 13/40 cups.