7. John is cooking cupcakes. The recipe calls for 3 3/10 cups of flour. He accidentally put in 3 5/8 cups of flour. How many extra cups did he put in?(1 point)Responses
1. 132/145 cups
2. 3 5/8 cups
3. 6 37/40 cups
4. 13/40 cups is .4 the correct answer
To find the number of extra cups of flour John put in, we need to subtract the correct amount (3 3/10 cups) from the amount he actually put in (3 5/8 cups).
To compare these two fractions, we need to have the same denominator. Let's convert the fraction 3 3/10 to an improper fraction with a denominator of 8:
3 3/10 = (3 * 10 + 3)/10 = 33/10
Now we can subtract:
3 5/8 - 33/10
To subtract fractions, we need a common denominator. The least common multiple of 8 and 10 is 40, so let's convert both fractions to have a denominator of 40:
(3 5/8) * (5/5) = 19/8 * 5/5 = 95/40
33/10 * (4/4) = 132/40
Now we can subtract:
95/40 - 132/40 = (95 - 132)/40 = -37/40
Since the result is negative, it means that John put in 37/40 cups LESS than he was supposed to. Therefore, the correct answer is:
4. 13/40 cups.
To find out how many extra cups John put in, we need to subtract the required amount of flour from the amount he actually put in.
The recipe calls for 3 3/10 cups of flour, which can also be expressed as 33/10 cups.
John accidentally put in 3 5/8 cups of flour, which can be expressed as 29/8 cups.
To find the difference, we subtract the required amount from the actual amount:
29/8 cups - 33/10 cups
To subtract fractions, we need to have a common denominator. In this case, the least common multiple of 8 and 10 is 40.
So, converting both fractions to have a denominator of 40:
(29/8) * (5/5) = 145/40
(33/10) * (4/4) = 132/40
Now, we can subtract these fractions:
145/40 - 132/40 = 13/40
Therefore, John put in an extra 13/40 cups of flour.
The correct answer is option 4: 13/40 cups.
To determine the number of extra cups of flour John put in, we need to find the difference between the amount of flour he used (3 5/8 cups) and the amount called for in the recipe (3 3/10 cups).
To do this, we can convert both fractions to have a common denominator. The least common denominator for 8 and 10 is 40.
Converting 3 5/8 cups to an improper fraction:
3 x 8 + 5 = 24 + 5 = 29
29/8
Converting 3 3/10 cups to an improper fraction:
3 x 10 + 3 = 30 + 3 = 33
33/10
Now we can subtract:
29/8 - 33/10
To subtract fractions, we need to have a common denominator of 40:
(29/8) x (5/5) = 145/40
(33/10) x (4/4) = 132/40
So, the difference is:
145/40 - 132/40 = 13/40
Therefore, John put in an extra 13/40 cups of flour.
The correct answer is option 4: 13/40 cups.