Answer:
34
Step-by-step explanation:
[tex]\frac{2}{5}*85[/tex]
Long way
- multiply the two numerators
- multiply the two denominators
- simplify the new fractions
[tex]\frac{85}{1}*\frac{2}{5} \\ \\ \frac{170}{5} \\ \\ =34[/tex]
short way
-can be simplified before mulitplying
- factor out common factors in the numerator and denominator
[tex]\frac{85}{1} *\frac{2}{5} \\ \\ \frac{17}{1}*\frac{2}{1} =34[/tex]
Think 85 and 5 as nickels. You need 20 nickels to make 100. Subtract 100 by 85 to get 15. You get 3 nickels and 17 nickels. 17 is the common factor. Multiply 17 by 2 to get your answer.
