¹⁵/₄ ÷ 4 ¹/₂ =

Question

¹⁵/₄ ÷ 4 ¹/₂ =

Quizplus · Accepted Answer

Step 1: Convert 4 ¹⁄₂ to an improper fraction to make multiplication easier. Use the rule a ^b/_c = ^{(ac + b)}/_cto convert a mixed number to an improper fraction. In words, you multiply the denominator (bottom number) by the whole number and then add the numerator. Put that number over the denominator to create the improper fraction. 11ec0fda_98e1_6ccb_a67f_6f39cbb7f8b4_NR0004_00 Step 2: Simplify. 4 x 2 + 1 = 9. 11ec0fda_98e1_6ccc_a67f_f101004d59ee_NR0004_00 Step 3: Use this rule to divide fractions: a ÷ ^b/_c = a × ^c/_b All the rule above states is: to divide fractions, flip the second fraction and multiply. 11ec0fda_98e1_6ccd_a67f_b59834d7ca73_NR0004_00 Step 4: Simplify. 15 × 2 = 30 and 4 × 9 = 36. 11ec0fda_98e1_6cce_a67f_ab6e773d7cef_NR0004_00 Step 5: The numerator (30) and denominator (36 )are both divisible by 6 so we must reduce the fraction to its simplest form. 11ec0fda_98e1_6ccf_a67f_b76a0c3a5f4e_NR0004_00

15/4 ÷ 4 1/2 =

¹⁵/₄ ÷ 4 ¹/₂ =