How Do You Solve a Word Problem Where You Divide Fractions?

How Do You Solve a Word Problem Where You Divide Fractions?

Note:

Working with word problems AND fractions? This tutorial shows you how to take a word problem and translate it into a mathematical equation involving a complex fraction. Then, you'll see how to simplify the complex fraction to get the answer. Check it out!

Keywords:

  • problem
  • word problem
  • translate words to algebra
  • translate
  • equation
  • write equation from words
  • fractions
  • complex fractions
  • complex
  • simplify
  • mixed fractions
  • mixed

Background Tutorials

  • Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b

  • Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

  • Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.

      • How Do You Multiply Fractions?How Do You Multiply Fractions?

      How Do You Multiply Fractions?

      Working with fractions can be intimidating, but if you arm yourself with the right tools, you'll find that working with fractions is no harder than working with basic numbers. In this tutorial you'll see the process for multiplying 3 very simple fractions. Enjoy!

  • Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

      • How Do You Divide Fractions?How Do You Divide Fractions?

      How Do You Divide Fractions?

      Dividing fractions? Change that division to a multiplication by multiplying the dividend by the reciprocal of the divisor. Learn all about it by watching this tutorial!

  • Write expressions that record operations with numbers and with letters standing for numbers.

      • How Do You Determine Which Operations to Use in a Word Problem?How Do You Determine Which Operations to Use in a Word Problem?

      How Do You Determine Which Operations to Use in a Word Problem?

      Turning a word problem into a math problem you can solve can be tricky. Luckily, there's some key words to look out for in a word problem that help tell you what math operation to use! This tutorial shows you some of these key words to look for in a word problem.

Further Exploration

  • Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.