Converting Unlike Fractions into Like Fractions

To convert the unlike fractions into like fractions, we will follow these steps:
Step 1: Identify the denominators
Step 2: Find the LCM of the denominators
Step 3: Convert each fraction to have the common denominator
Step 4: Final result

Example (1): Convert `"5"/"6"` and `"7"/"9"` into like fractions.

Step 1: Find the LCM of the Denominators (6 and 9)

• Multiples of 6: 6, 12, 18, 24, 30, 36, …
• Multiples of 9: 9, 18, 27, 36, 45, …
• The Least Common Multiple (LCM) of 6 and 9 is 18.

Step 2: Convert Each Fraction to an Equivalent Fraction with Denominator 18

• For `"5"/"6"`
• Multiply the numerator and denominator by 3:
  = `"5x3"/"6x3"` = `"15"/"18"`
• For `"7"/"9"`
• Multiply the numerator and denominator by 2:
  = `"7x2"/"9x2"` = `"14"/"18"`

Step 3: Write the Like Fractions

• `"15"/"18"` and  `"14"/"18"` are like fractions, respectively equivalent to  `"5"/"6"` and  `"7"/"9"`.

Note: 18 is a multiple of both 6 and 9. We could also choose numbers like 36 and 54 as the common denominators.