Question

Huong is cooking cupcakes. The recipe calls for three and five sixths cups of sugar. She accidentally puts in three and nine eighths cups. How many extra cups did she put in?

Answer 1

She put 7/24 extra cups of sugar

Explanation:

we know that

To find out how many extra cups did she put in, subtract three and five sixths cups of sugar from three and nine eighths cups of sugar.

so

`3(9)/(8)-3(5)/(6)`

Convert mixed number to an improper fraction

`3(9)/(8)\ cups=(3*8+9)/(8)=(33)/(8)\ cups`

`3(5)/(6)\ cups=(3*6+5)/(6)=(23)/(6)\ cups`

The LCM between 8 and 6 is 24

substitute the values

`(33)/(8)-(23)/(6)=(33*3-23*4)/(24)=(7)/(24)\ cups`

therefore

She put 7/24 extra cups of sugar