Maddie bought 3 2/3 yards of satin ribbon at the craft store. She wanted to make hair bows for the cheer squad. Each bow requires 2/3 of a yard of ribbon. How many complete bows can she make?

Respuesta :

Answer:

4

Step-by-step explanation:

Given that:

Total yards of satin bought by Maddie = [tex]3\frac{2}{3}[/tex] yards

Number of yards required make one ribbon = [tex]\frac{2}{3}[/tex] yards

To find:

Number of complete bows that can be made ?

Solution:

First of all, let us learn about converting the mixed fraction to fractional form.

Formula:

[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}{c}[/tex]

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

[tex]3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}[/tex]

One hair bow requires [tex]\frac{2}{3}[/tex] yards of ribbon.

Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.

Answer is:

[tex]\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4[/tex]

4 hair bows can be made.