Question

John is cooking cupcakes. The recipes calls for 3 3/10
cups of flour. He accidentally put in 3 5/8
cups. How many extra cups did he put in?(1 point)
Responses

3 5/8
3 and 5 eighths

6 37/40
6 and 37 over 40

132/145
132 over 145

13/40

Answer 1

To determine how many extra cups of flour John added, we need to subtract the amount of flour the recipe called for from the amount he actually used.

The recipe calls for \(3 \frac{3}{10}\) cups of flour. This can be converted to an improper fraction:

\[
3 \frac{3}{10} = \frac{30 + 3}{10} = \frac{33}{10}
\]

John accidentally used \(3 \frac{5}{8}\) cups of flour, which can also be converted to an improper fraction:

\[
3 \frac{5}{8} = \frac{24 + 5}{8} = \frac{29}{8}
\]

Now, we will find a common denominator to subtract these two fractions. The least common multiple of the denominators 10 and 8 is 40.

Now convert both fractions:

\[
\frac{33}{10} = \frac{33 \times 4}{10 \times 4} = \frac{132}{40}
\]

\[
\frac{29}{8} = \frac{29 \times 5}{8 \times 5} = \frac{145}{40}
\]

Now, we can subtract:

\[
\frac{145}{40} - \frac{132}{40} = \frac{145 - 132}{40} = \frac{13}{40}
\]

Thus, John put in \( \frac{13}{40} \) extra cups of flour.

The answer is:

**13/40**