Add and Subtract Fractions with Different Denominators: example 4.65

Convert $\frac{1}{4} and \frac{1}{6}$ to equivalent fractions with denominator $12,$ their LCD.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Change to equivalent fractions with the LCD:

$\frac{3}{4}$ and $\frac{5}{6}, LCD = 12$

How did it go?

Find the LCD.	The LCD of $\frac{1}{4}$ and $\frac{1}{6}$ is 12.
Find the number to multiply 4 to get 12.
Find the number to multiply 6 to get 12.
Use the Equivalent Fractions Property to convert each fraction to an equivalent fraction with the LCD, multiplying both the numerator and denominator of each fraction by the same number.
Simplify the numerators and denominators.

Find the LCD.	The LCD of $\frac{1}{4}$ and $\frac{1}{6}$ is 12.
Find the number to multiply 4 to get 12.
Find the number to multiply 6 to get 12.
Use the Equivalent Fractions Property to convert each fraction to an equivalent fraction with the LCD, multiplying both the numerator and denominator of each fraction by the same number.
Simplify the numerators and denominators.