a box contains 1 3/4 pounds of pancake mix. Jada used 7/8 pound for a recipe. What fraction of the pancake mix in the box did she use?

Respuesta :

Answer:

Jada used 1/2 of the pancake mix in the box

Step-by-step explanation:

we know that

[tex]1\frac{3}{4}\ pounds[/tex] -----> represent the 100% of the box

so

by proportion

Find what fraction represent [tex]\frac{7}{8}\ pounds[/tex]

First convert mixed number to an improper fraction

[tex]1\frac{3}{4}\ pounds=\frac{1*3+4}{4}=\frac{7}{4}\ pounds[/tex]

[tex]\frac{100}{(7/4)}=\frac{x}{(7/8)}\\ \\x= 100*(7/8)/(7/4)\\ \\x=50\%[/tex]

Convert the percentage into fraction

[tex]50\%=50/100=1/2[/tex]