If the baker used [tex]\frac{53}{4}[/tex] and it was [tex]\frac{13}{4}[/tex] too much, then we must perform the following math calculation:
[tex] \frac{53}{4} / \frac{13}{4} [/tex]
This will find the actual amount that the baker needed to use. To do this calculation we can use the Keep Change Switch rule.
Keep [tex] \frac{53}{4} [/tex], change the division to multiplication, and then switch the numerator with the denominator on the second fraction to get [tex] \frac{4}{13}. [/tex] This gives us:
[tex] \frac{53}{4} * \frac{4}{13} [/tex]
Now multiply the numerators and put that over the product of the denominators.
[tex] \frac{53*4}{4*13} = \frac{212}{52} = \frac{53}{13} [/tex]
Make sure you reduce your fractions, always good to do that!
The baker should have used [tex] \frac{53}{13} [/tex] cups of flour.
