Add: ⁴/₁₀ + ⁶/₅ + ⁹/₂₀ =

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 10: 10, 20, …
Multiples of 5:  5, 10, 15, 20…
Multiples of 20:  20, 40…
Therefore, the LCD is 20.
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 10:  2, 5
Prime factors of 5:  5
Prime factors of 20:  2, 2, 5
Therefore, the LCD is 2 × 2 × 5 = 20.
Step 2: Make the denominators the same as the LCD.
 11ec0fda_98df_97f1_a67f_b743b732fc24_NR0004_00 Step 3: Simplify. The denominators are now the same.
 11ec0fda_98df_97f2_a67f_bbd763b38da7_NR0004_00 Step 4: Join the denominators.
 11ec0fda_98df_97f3_a67f_b3a5e68bb68c_NR0004_00 Step 5: Simplify.
 11ec0fda_98df_97f4_a67f_c16b8f4265ab_NR0004_00 Step 6: Convert to a mixed number.
 11ec0fda_98df_97f5_a67f_bd06f40bcb12_NR0004_00

Add: 4/10 + 6/5 + 9/20 =

Add: ⁴/₁₀ + ⁶/₅ + ⁹/₂₀ =