Answer:
1
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/4, 1/2) = 4
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
[tex](\frac{2}{4} +\frac{1}{1})+(\frac{1}{2} +\frac{2}{2} )= ?[/tex]
Complete the multiplication and the equation becomes
[tex]\frac{2}{4} +\frac{2}{4}=?[/tex]
The two fractions now have like denominators so you can add the numerators.
Then: [tex]\frac{2+2}{4}=\frac{4}{4}[/tex]
Since 4 divided by 4 equals 1 then,
[tex]\frac{4}{4}=1[/tex]
Therefore:
[tex]\frac{2}{4} +\frac{1}{2} =1[/tex]
