Answer:
The fraction that is halfway between 1/2 and 1 1/4 is: 5/8
Step-by-step explanation:
Given the fractions
1/2 and 1 1/4
In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.
1)
Add the numbers
[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]
as 1 1/4 = 3/4, so
[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]
Apply fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{2+3}{4}[/tex]
[tex]=\frac{5}{4}[/tex]
2)
Divide by 2
[tex]\frac{5}{4}\div \:2[/tex]
Convert element to fraction: [tex]2=\frac{2}{1}[/tex]
[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]
Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{5}{4}\times \frac{1}{2}[/tex]
Multiply fractions: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{5\times \:1}{4\times \:2}[/tex]
[tex]=\frac{5}{8}[/tex]
Conclusion:
Therefore, the fraction that is halfway between 1/2 and 1 1/4 is: 5/8
