Answer (Three Different Forms):
Decimal:
156.25
Fraction:
![(625)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/8wu06sazdnplpdsaqrblvtijsy0vf9onum.png)
Mixed Number:
![156(1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xrx747kty701y6a30x4s28m3g8e6o1s76i.png)
Explanation:
96% is the same as 0.96, and so this problem can be written algebrically as:
0.96 ⋅ x = 150
Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:
x =
![(150)/(0.96)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vwx3jpjtxixtgzn1wbxz1a8s0lvd5jyn8h.png)
Divide/simplify
to get the following three options (you can choose which one to use):
Decimal:
156.25
Fraction:
![(625)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/8wu06sazdnplpdsaqrblvtijsy0vf9onum.png)
Mixed Number:
![156(1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xrx747kty701y6a30x4s28m3g8e6o1s76i.png)
Hope this helps! :)