Questions: Simplify the following fractions. Be sure that your answer is in simplest form. a. 2/12 b. 3/6 c. 5/6 d. 2/6

$Simplify the following fractions. Be sure that your answer is in simplest form. a. 2/12 b. 3/6 c. 5/6 d. 2/6$

Transcript text: Simplify the following fractions. Be sure that your answer is in simplest form. a. $\frac{2}{12}$ b. $\frac{3}{6}$ c. $\frac{5}{6}$ d. $\frac{2}{6}$

Solution

Solution Steps

Step 1: Simplify $\frac{2}{12}$

Divide the numerator and denominator by their greatest common divisor (GCD), which is 2: \[ \frac{2 \div 2}{12 \div 2} = \frac{1}{6} \]

Step 2: Simplify $\frac{3}{6}$

Divide the numerator and denominator by their GCD, which is 3: \[ \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \]

Step 3: Simplify $\frac{5}{6}$

The fraction $\frac{5}{6}$ is already in its simplest form because 5 and 6 have no common divisors other than 1.

Final Answer

a. $ \boxed{\frac{1}{6}} $

b. $ \boxed{\frac{1}{2}} $

c. $ \boxed{\frac{5}{6}} $

d. $ \boxed{\frac{1}{3}} $

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