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
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.
To find out how many extra cups of flour John put in, we need to find the difference between the amount he mistakenly added (3 and 5/8 cups) and the amount specified in the recipe (3 and 3/10 cups).
First, we need to convert both mixed numbers to improper fractions for easier calculation:
3 and 5/8 cups = (3 * 8 + 5) / 8 cups = 29/8 cups
3 and 3/10 cups = (3 * 10 + 3) / 10 cups = 33/10 cups
Now, we can calculate the difference:
Extra cups = (29/8) - (33/10)
To perform the subtraction, we need to have a common denominator between 8 and 10, which is 40. Let's convert both fractions:
Extra cups = (29/8) - (33/10) = (29/8) * (5/5) - (33/10) * (4/4) = 145/40 - 132/40
Now, subtract the numerators:
Extra cups = 145/40 - 132/40 = (145 - 132) / 40
The numerator of the resulting fraction is 13, and the denominator remains 40:
Extra cups = 13/40
So, John accidentally put in 13/40 cups of extra flour.
To find out how many extra cups of flour John put in, we need to calculate the difference between the amount the recipe called for and the amount John actually used.
1. Convert 3 and 3/10 cups to an improper fraction:
3 and 3/10 = (3 × 10 + 3)/10 = 33/10 cups
2. Convert 3 and 5/8 cups to an improper fraction:
3 and 5/8 = (3 × 8 + 5)/8 = 29/8 cups
3. Subtract the amount John used from the amount the recipe called for:
33/10 - 29/8 = ((33 × 8) - (29 × 10))/(10 × 8) = (264 - 290)/80 = -26/80 cups
The result is -26/80 cups. However, since we cannot have negative cups, it means John used less flour than the recipe called for, not more.