Add: ¹⁴/₃ + ¹²/₁₅ + ⁹/₅ =

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…
Multiples of 15: 15, 30…
Multiples of 5: 5, 10, 15…
Therefore, the LCD is 15.
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 15: 3, 5
Prime factors of 5:  5
Therefore, the LCD is 3 x 5 = 15.
Step 2: Make the denominators the same as the LCD.
 11ec0fda_98db_036d_a67f_e9148bd17e1e_NR0004_00 Step 3: Simplify. The denominators are now the same.
 11ec0fda_98db_036e_a67f_c320ce7e64b2_NR0004_00 Step 4: Join the denominators.
 11ec0fda_98db_036f_a67f_dda8e345e554_NR0004_00 Step 5: Simplify.
 11ec0fda_98db_0370_a67f_ad96cdd72b13_NR0004_00 Step 6: Convert to a mixed number.
 11ec0fda_98db_0371_a67f_3dd34f09cb21_NR0004_00

Add: 14/3 + 12/15 + 9/5 =

Add: ¹⁴/₃ + ¹²/₁₅ + ⁹/₅ =