Answer:
Part 26) [tex]3\frac{1}{4}\ in[/tex]
Part 27) [tex]2\frac{2}{3}\ cups[/tex]
Step-by-step explanation:
Part 26)
we know that
The length of Alana's hair was 9 3/4 inches
After her haircut, the length was 6 1/2 inches
To find out how many inches did she have cut subtract 6 1/2 from 9 3/4
but first
Convert mixed number to an improper fraction
[tex]9\frac{3}{4}\ in=\frac{9*4+3}{4}=\frac{39}{4}\ in[/tex]
[tex]6\frac{1}{2}\ in=\frac{6*2+1}{2}=\frac{13}{2}\ in[/tex]
Find the difference
[tex]\frac{39}{4}-\frac{13}{2}=\frac{39-26}{4}=\frac{13}{4}\ in[/tex]
Convert to mixed number
[tex]\frac{13}{4}\ in=\frac{12}{4}+\frac{1}{4}=3\frac{1}{4}\ in[/tex]
Part 27)
we have that
Emeril used a total of 7 1/4 cups of flour to make three pastries
He used 2 1/4 cup of flour for the first and 2 1/3 cups of flour for the second
To find out how much cups of flour Emeril use for the third pastry, subtract the sum of the cups of flour used in the first and second pastry from the total cups of pastry used
Let
x ----> number of cups of flour used in the third pastry
[tex]x=7\frac{1}{4}-(2\frac{1}{4} +2\frac{1}{3})[/tex]
but first
Convert mixed number to an improper fraction
[tex]7\frac{1}{4}\ in=\frac{7*4+1}{4}=\frac{29}{4}\ cups[/tex]
[tex]2\frac{1}{4}\ in=\frac{2*4+1}{4}=\frac{9}{4}\ cups[/tex]
[tex]2\frac{1}{3}\ in=\frac{2*3+1}{3}=\frac{7}{3}\ cups[/tex]
substitute
[tex]x=\frac{29}{4}-(\frac{9}{4} +\frac{7}{3})[/tex]
[tex]x=\frac{20}{4} -\frac{7}{3}[/tex]
[tex]x=\frac{20*3-7*4}{12}[/tex]
[tex]x=\frac{32}{12}\ cups[/tex]
Simplify
[tex]x=\frac{8}{3}\ cups[/tex]
Convert to mixed number
[tex]\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ cups[/tex]
