Question

what is the value of $\frac{5}{6}-\frac{1}{4}$? $\bigcircLXB0\frac{5}{12}$ $\bigcircLXB1\frac{1}{6}$

Explanation:

Step1: Find a common denominator

To subtract \(\frac{5}{6}\) and \(\frac{1}{4}\), we need a common denominator. The least common multiple of 6 and 4 is 12. So we rewrite the fractions with denominator 12:
\(\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}\)
\(\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}\)

Step2: Subtract the fractions

Now subtract the numerators:
\(\frac{10}{12}-\frac{3}{12}=\frac{10 - 3}{12}=\frac{7}{12}\)

Answer:

\(\frac{7}{12}\) (corresponding to the option \(\frac{7}{12}\))