Answer:
[tex]2\frac{3}{14}[/tex] yards
Step-by-step explanation:
We have been given that 4 1/2 yards of cloth are needed to make a woman’s dress. 2 2/7 yards of cloth are needed to make a girl’s dress.
To find the yards of more cloth needed to make a woman’s dress than a girl’s dress, we will subtract cloth needed for girl's dress from the cloth needed for woman's dress.
[tex]4\frac{1}{2}-2\frac{2}{7}[/tex]
Convert mixed fraction into improper fraction:
[tex]4\frac{1}{2}\Rightarrow \frac{4\times 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}[/tex]
[tex]2\frac{2}{7}\Rightarrow \frac{2\times 7+2}{7}=\frac{14+2}{7}=\frac{16}{7}[/tex]
[tex]4\frac{1}{2}-2\frac{2}{7}=\frac{9}{2}-\frac{16}{7}[/tex]
Make a common denominator:
[tex]\frac{9*7}{2*7}-\frac{16*2}{7*2}[/tex]
[tex]\frac{63}{14}-\frac{32}{14}[/tex]
[tex]\frac{63-32}{14}[/tex]
[tex]\frac{31}{14}[/tex]
[tex]2\frac{3}{14}[/tex]
Therefore, [tex]2\frac{3}{14}[/tex] yards more cloth is needed to make a woman’s dress than a girl’s dress.
