Shelby used [tex]\frac{9}{15}[/tex] or [tex]\frac{3}{5}[/tex] ounce to paint the flag.
- She bought 2-ounce tube of blue paint
- She used [tex]\frac{2}{3}[/tex] ounce to paint the water
- She used [tex]\frac{3}{5}[/tex] ounce to paint the sky
- She had [tex]\frac{2}{15}[/tex] ounce left
- The ounce used to paint a flag is unknown
Further Explanation
To determine how much paint Shelby used to paint her flag then, we have:
= [tex]\frac{2}{3}[/tex] + [tex]\frac{3}{5}[/tex] + [tex]\frac{2}{15}[/tex] (let solve the first 2 fractions)
= [tex]\frac{2}{3}[/tex] + [tex]\frac{3}{5}[/tex] (the lowest common denominator of 3 and 5 is 15)
= (5 x 2) + (3 x 3) / 15
= (10) + (9) / 15
= 10 + 9 / 15
= [tex]\frac{19}{15}[/tex] .
Now we should add [tex]\frac{9}{15}[/tex] with the fraction of ounce she had left: [tex]\frac{2}{15}[/tex]
Therefore, we have
= [tex]\frac{19}{15}[/tex] + [tex]\frac{2}{15}[/tex] (the lowest denominator of 15 and 15 is 15)
= (19 x 1) + (1 x 2) / 15
= (19) + (2) / 15
= [tex]\frac{21}{15}[/tex] .
Recall that the total paint is 2-ounce. Therefore, to get the fraction of ounce used to paint a flag, we have to subtract the ounce of the total paint from the [tex]\frac{21}{15}[/tex] .
Therefore we have:
2-[tex]\frac{21}{15}[/tex] (can also be expressed as [tex]\frac{2}{1}[/tex] – [tex]\frac{21}{15}[/tex] )
= (15 x 2) – (1 x 21) / 15 (the lowest denominator is 15)
= (30) – (21) / 15
= 30 – 21 / 15
= [tex]\frac{9}{15}[/tex] or [tex]\frac{3}{15}[/tex] .
Therefore Shelby used [tex]\frac{9}{15}[/tex] or [tex]\frac{3}{5}[/tex] ounce to paint the flag.
LEARN MORE:
- fraction brainly.com/question/6201432
- lowest common denominator brainly.com/question/10962736
KEYWORDS:
- fractions
- bodmas
- shelly
- ounce
- flag
- lowest common denominator
