Subtract: 7 ¹/₃ - 5 ³/₄ =

Question

Quizplus · Accepted Answer

Step 1: Convert 7 ¹/₃ and 5 ³/₄ to improper fractions to make subtraction easier. Use the rule a ^b/_c = ^{(ac + b)}/_c to 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_98d5_d3af_a67f_e9867d9266eb_NR0004_00 Step 2: Simplify: 11ec0fda_98d5_d3b0_a67f_3f0db133339a_NR0004_00 Step 3: 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… Multiples of 4: 4, 8, 12… Therefore, the LCD is 12. 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 4: 2, 2 Therefore, the LCD is 2 × 2 x 3 = 12. Step 4: Make the denominators the same as the LCD. 11ec0fda_98d5_d3b1_a67f_4f1fa03bd5a8_NR0004_00 Step 5: Simplify. The denominators are now the same. 11ec0fda_98d5_d3b2_a67f_8b1b81cf78a7_NR0004_00 Step 6: Join the denominators. 11ec0fda_98d5_d3b3_a67f_653bdf89a388_NR0004_00 Step 7: Simplify. 11ec0fda_98d5_d3b4_a67f_7bc6a97250cc_NR0004_00 Step 8: Convert to a mixed number. 11ec0fda_98d5_d3b5_a67f_65b62c7781d8_NR0004_00 Answer: 1 ⁷/₁₂

Subtract: 7 1/3 - 5 3/4 =

Subtract: 7 ¹/₃ - 5 ³/₄ =