1. Mike has 8 gallons of paint. He used of the paint. How many gallons of paint didhe use?2. David spent 4 hours of his time in the morning studying Math and Science. Hespent of this time studying Science. How many hours of the total time did he spendStudying Math?
Answer (1)
1. Mike has 8 gallons of paint. He used a fraction of the paint. How many gallons of paint did he use?Let the fraction of paint Mike used be represented by [tex] \frac{a}{b} [/tex]The total amount of paint Mike used would be calculated as:[tex]{Gallons \: of \: paint \: used} = 8 \times \frac{a}{b}[/tex]So, once you know the fraction [tex]\frac{a}{b}[/tex], you can substitute it in and calculate the answer.2. David spent 4 hours of his time in the morning studying Math and Science. He spent a fraction of this time studying Science. How many hours of the total time did he spend studying Math?Let the fraction of time David spent studying Science be [tex]\frac{c}{d} [/tex]The time David spent studying Science is:[tex]{Hours \: spent \: studying \: Science} = 4 \times \frac{c}{d}[/tex]The time David spent studying Math would be the remaining time:[tex]{Hours \: spent \: studying \: Math} = 4 - \left(4 \times \frac{c}{d}\right)[/tex]Again, once you know the fraction [tex]\frac{c}{d}[/tex], you can substitute it in and find the exact amount of time David spent studying Math.
