Skills Analysis in Middle School Mathematics

1

Mixed Number to Improper Fraction

Convert \(8\dfrac{3}{5}\) to an improper fraction.

2

Improper Fraction to Mixed Number

Convert \(\dfrac{47}{6}\) to a mixed number.

3

Fractions on a Number Line

Which fraction is shown by the point on the number line?

4

Fractions on a Number Line

Which fraction is shown by the point on the number line?

5

Ordering Fractions

Arrange the fractions from least to greatest: \(\dfrac{2}{3},\;\dfrac{3}{8},\;\dfrac{5}{6},\;\dfrac{1}{4}\).

6

Simplifying Fractions

Simplify \(\dfrac{42}{56}\).

7

Adding Like Fractions

Calculate: \(\dfrac{5}{9}+\dfrac{2}{9}\)

8

Subtracting Like Fractions

Calculate: \(\dfrac{11}{12}-\dfrac{5}{12}\)

9

Adding Mixed Numbers

Calculate: \(3\dfrac{2}{7}+1\dfrac{4}{7}\)

10

Subtracting Mixed Numbers

Calculate: \(6\dfrac{5}{8}-2\dfrac{3}{8}\)

11

Adding Unlike Fractions

Calculate: \(\dfrac{2}{3}+\dfrac{3}{4}\)

12

Subtracting Unlike Fractions

Calculate: \(\dfrac{5}{6}-\dfrac{1}{4}\)

13

Adding Unlike Fractions

Calculate: \(\dfrac{7}{10}+\dfrac{2}{5}\)

14

Subtracting Unlike Fractions

Calculate: \(\dfrac{9}{14}-\dfrac{1}{7}\)

15

Adding Unlike Fractions

Calculate: \(\dfrac{3}{8}+\dfrac{5}{12}\)

16

Adding Mixed Numbers

Calculate: \(4\dfrac{2}{3}+2\dfrac{3}{5}\)

17

Subtracting Mixed Numbers

Calculate: \(8\dfrac{1}{4}-3\dfrac{5}{6}\)

18

Fraction Word Problem

During practice, Sofia ran \(\dfrac{2}{5}\) km in the morning and \(\dfrac{1}{5}\) km in the afternoon. How far did she run in total?

19

Fraction Word Problem

A cake had \(\dfrac{7}{8}\) left. The class ate \(\dfrac{3}{8}\) of the cake. What fraction of the cake was left?

20

Fraction Word Problem

A mural used \(\dfrac{1}{3}\) of a can of blue paint and \(\dfrac{1}{4}\) of a can of green paint. What fraction of a can was used altogether?

21

Fraction Word Problem

Leo drank \(\dfrac{3}{4}\) L of water before lunch and \(\dfrac{2}{3}\) L after lunch. How much water did he drink in total?

22

Fraction Word Problem

A rope was \(\dfrac{5}{6}\) m long. Mateo cut off \(\dfrac{1}{3}\) m. How much rope was left?

23

Fraction Word Problem

Nadia read \(\dfrac{2}{5}\) of a book on Monday and \(\dfrac{3}{10}\) of the book on Tuesday. What fraction of the book did she read?

24

Fraction Word Problem

In a garden, \(\dfrac{7}{12}\) of the space has vegetables and \(\dfrac{1}{6}\) has flowers. What fraction of the garden is used for vegetables and flowers?

25

Mixed Number Word Problem

A hiking group walked \(2\dfrac{1}{3}\) km before a break and \(1\dfrac{5}{6}\) km after the break. How far did they walk in total?

26

Mixed Number Word Problem

A ribbon was \(6\dfrac{3}{4}\) m long. A piece of \(2\dfrac{1}{2}\) m was cut off. How much ribbon remained?

27

Mixed Number Word Problem

A recipe used \(1\dfrac{2}{5}\) cups of flour and \(2\dfrac{3}{10}\) cups of oats. How many cups were used in total?

28

Adding Three Fractions

Calculate: \(\dfrac{1}{4}+\dfrac{2}{3}+\dfrac{5}{6}\)

29

Adding Three Fractions

Calculate: \(2\dfrac{1}{5}+\dfrac{3}{10}+1\dfrac{1}{2}\)

30

Adding Three Fractions

Calculate: \(\dfrac{3}{4}+1\dfrac{2}{3}+2\dfrac{5}{6}\)

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