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Topic Review: Operations with rational numbers

Adaptive
Worksheet

Interactive practice questions

The rectangle of blocks below represents what happens when $\frac{1}{4}$14 is multiplied by $\frac{1}{5}$15.

The sides of the rectangle both represent $1$1 and all of the blocks together make up $1$1 whole.

  $\frac{1}{5}$15

$\frac{1}{4}$14





Using the block representation, find the value of $\frac{1}{4}\cdot\frac{1}{5}$14·15.

Easy
< 1min

Find $\frac{1}{10}$110 of $80$80.

Medium
1min

Evaluate $\frac{3}{5}\cdot45$35·45.

Easy
1min

$3\div\left(\frac{1}{3}\right)$3÷​(13) can be visualized using the following model:

Easy
3min
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Outcomes

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g. By reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6.NS.A.1

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.

6.NS.B.2

Fluently divide multi-digit numbers using the standard algorithm

6.NS.B.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.C.7

Understand ordering and absolute value of rational numbers.

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