Subtract: ³¹⁄₃₆ - ⁵⁄₉ =

Question

Quizplus · Accepted Answer

Step 1: Find the Least Common Denominator (LCD). There are two ways we can do this:
Method 1: Find the first common multiple. List out all multiples of each denominator and find the first common one.
Multiples of 36 :  36, …
Multiples of 9 :  9, 18, 27, 36, …
Therefore, the LCD is 36.
Method 2: Prime Factors. List all prime factors of each denominator, and find the union of these primes.
Prime factors of 36 :  2, 2, 3, 3
Prime factors of 9 :  3, 3
Therefore, the LCD is 2 × 2 × 3 × 3 = 36
LCD = 36
Step 2: Make the denominators the same as the LCD.
 11ec0fda_98ca_afb4_a67f_733ec7c4b9f1_NR0004_00 Step 3: Simplify. The denominators are now the same.
 11ec0fda_98ca_afb5_a67f_2b2babc8b216_NR0004_00 Step 4: Join the denominators.
 11ec0fda_98ca_afb6_a67f_31e4b0077b04_NR0004_00 Step 5: Simplify
 11ec0fda_98ca_afb7_a67f_d13ebd4fd0b5_NR0004_00

Subtract: 31⁄36 - 5⁄9 =

Subtract: ³¹⁄₃₆ - ⁵⁄₉ =