Solve: 3/4 × 2/3 × 2¼x - Fraction Multiplication with Mixed Numbers

34×23×214x= \frac{3}{4}\times\frac{2}{3}\times2\frac{1}{4}x=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:16 Let's solve the numerator and denominator products
00:23 Let's simplify the fraction
00:27 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

34×23×214x= \frac{3}{4}\times\frac{2}{3}\times2\frac{1}{4}x=

2

Step-by-step solution

Let's begin by combining the simple fractions into a single multiplication exercise:

3×24×3×214x= \frac{3\times2}{4\times3}\times2\frac{1}{4}x=

Let's now proceed to solve the exercise in the numerator and denominator:

612×214x= \frac{6}{12}\times2\frac{1}{4}x=

Finally we'll simplify the simple fraction in order to obtain the following:

12×214x=118x \frac{1}{2}\times2\frac{1}{4}x=1\frac{1}{8}x

3

Final Answer

118x 1\frac{1}{8}x

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\( 94+12+6= \)

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