Answer :
first, make the two fractions have the same denominator. the new equation is 5 3/6 - 2 5/6. then, the easiest way to solve is to change the mixed numbers into improper fractions. the final equation is 33/6 - 17/6. finally, subtract the numerator, and reduce. the answer is 2 2/3.
[tex]\sf5\dfrac{1}{2}-2\dfrac{5}{6}[/tex]
Convert both of them into improper fractions.
[tex]\sf\dfrac{11}{2}-\dfrac{17}{6}[/tex]
Convert 11/2 into a denominator over 6:
[tex]\sf\dfrac{11\times3}{2\times3}-\dfrac{17}{6}[/tex]
[tex]\sf\dfrac{33}{6}-\dfrac{17}{6}[/tex]
Subtract the numerators and keep the denominator:
[tex]\sf\dfrac{16}{6}[/tex]
Convert to mixed number:
[tex]\sf2\dfrac{2}{3}[/tex]
Convert both of them into improper fractions.
[tex]\sf\dfrac{11}{2}-\dfrac{17}{6}[/tex]
Convert 11/2 into a denominator over 6:
[tex]\sf\dfrac{11\times3}{2\times3}-\dfrac{17}{6}[/tex]
[tex]\sf\dfrac{33}{6}-\dfrac{17}{6}[/tex]
Subtract the numerators and keep the denominator:
[tex]\sf\dfrac{16}{6}[/tex]
Convert to mixed number:
[tex]\sf2\dfrac{2}{3}[/tex]
