Subtract: ⁷/₃ - ⁵/₇ =

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 3: 3, 6, 9, 12, 15, 18, 21…
Multiples of 7: 7, 14, 21…
Therefore, LCD is 21.
Method 2: Prime Factors. The LCD will be the product of the largest multiple of each prime that appears on at least one list.
Prime factors of 3: 3
Prime factors of 7:  7
So, the LCD is 7 x 3 = 21
Step 2: Make the denominators the same as the LCD.
 11ec0fda_98df_70dc_a67f_73a956e34a56_NR0004_00 Step 3: Simplify. The denominators are now the same.
 11ec0fda_98df_70dd_a67f_4f698985b7aa_NR0004_00 Step 4: Join the denominators.
 11ec0fda_98df_70de_a67f_7f35c9c96319_NR0004_00 Step 5: Simplify.
 11ec0fda_98df_70df_a67f_6d33b74993c5_NR0004_00 Step 5: Convert to a mixed fraction.
 11ec0fda_98df_70e0_a67f_752c38d150a4_NR0004_00

Subtract: 7/3 - 5/7 =

Subtract: ⁷/₃ - ⁵/₇ =