Representing Fractions Review

FRACTIONS REVIEW

( 1º ESO)

Use your device and review and practice operations with fractions. Elisa Lozano Latorre

Equivalent fractions

Multiple Choice

Which fraction is equivalent to $$\frac{2}{3}$$ ?

• $$\frac{3}{2}$$

• $$\frac{-2}{3}$$

• $$\frac{20}{31}$$

• $$\frac{10}{15}$$

Fill in the Blank

Write a fraction equivalent to $$\frac{2}{3}$$ with denominator 30

(use / for fraction bar)

Multiple Choice

What is the simplest form of the $$\frac{70}{105}$$ fraction:

• $$\frac{2}{3}$$

• It is irreducible

• $$\frac{14}{21}$$

• $$\frac{7}{10}$$

Fill in the Blank

Find the value of x if these fractions are equivalent $$\frac{3}{5}=\frac{24}{x}$$

Represent, compare and order fractions.

To represent fractions

• Draw integer numbers.

• Divide each unit, marking as many parts as the denominator.

• Write the fraction counting part as the numerator.

A fraction is less than another if it is on the left in the line.

Multiple Choice

What is the represented fraction?

• $$\frac{2}{3}$$

• $$\frac{2}{5}$$

• $$0,2$$

• $$\frac{-2}{5}$$

Multiple Choice

What is the represented fraction?

• $$\frac{1}{3}$$

• $$\frac{3}{7}$$

• $$\frac{7}{3}$$

• $$\frac{7}{9}$$

Draw

Represent the fraction $$\frac{-2}{3}$$

Draw

Represent the fraction $$\frac{5}{3}$$

• Make sure the denominators are the same.

• Add or subtract the numerators.

• Keep the denominators.

• Simplify if needed.

             

Addition and Subtraction

We don't add denominators! 

​ Equal denominators

Addition and Subtraction

​ Different denominators

We do not add denominators! 

• Get the common denominators.

1. mcm of denominators ( common denominator)

2. Look for equivalent fractions to given fractions with this common denominator.

• Add or subtract  the numerators .

• Simplify if needed.

             

Multiple Choice

What is the operation represented?

• $$\frac{2}{4}-\frac{1}{4}$$

• $$\frac{2}{4}+\frac{1}{4}$$

• $$\frac{2}{4}\cdot\frac{1}{4}$$

• $$\frac{2}{4}:\frac{1}{4}$$

Multiple Choice

What is the operation represented?

• $$\frac{1}{4}-\frac{2}{4}$$

• $$\frac{1}{4}+\frac{1}{2}$$

• $$\frac{1}{4}+\frac{3}{4}$$

• $$\frac{1}{4}+\frac{1}{2}+\frac{3}{4}$$

Fill in the Blank

TRUE OR FALSE?

To add or subtract fractions, add or subtract the numerator and keep the denominator the same.

Multiple Choice

$$\frac{3}{6}+\frac{2}{6}$$

• $$\frac{5}{12}$$

• $$\frac{5}{6}$$

• $$\frac{-5}{6}$$

• You must reduce to common denominator.

Multiple Choice

$$\frac{5}{8}-\frac{1}{8}$$

• $$\frac{5}{8}$$

• $$\frac{4}{0}$$

• $$\frac{1}{2}$$

• You must reduce to common denominator.

Fill in the Blank

TRUE OR FALSE?

$$\frac{7}{9}+\frac{2}{9}=1$$

Multiple Choice

$$\frac{7}{8}-\frac{1}{2}$$

• $$\frac{11}{8}$$

• $$\frac{3}{8}$$

• $$\frac{6}{6}$$

• You can't do it

Multiple Choice

$$\frac{23}{33}+\frac{17}{33}$$

• $$\frac{5}{33}$$

• $$\frac{51}{33}$$

• $$1\ \frac{7}{33}$$

• $$\frac{50}{66}$$

Multiple Select

$$\frac{2}{3}+\frac{2}{5}$$

• $$0$$

• $$1\ \frac{1}{15}$$

• $$\frac{4}{15}$$

• $$\frac{16}{15}$$

Multiplication

• Intermediate simplification is a smart mathematician's trick! 

​ Multiply

Multiple Select

What fractions represent the dark purple zone?

• $$\frac{2}{5}\cdot\frac{1}{3}$$

• $$\frac{2}{15}$$

• $$\frac{4}{15}$$

• $$\frac{3}{15}$$

Division

• To understand formulas is another smart mathematician's trick! 

​ Divide

Understanding Divison

Multiple Choice

What is the operation represented?

• $$2:\frac{1}{5}$$

• $$2:\frac{1}{3}$$

• $$2\cdot\frac{1}{5}$$

• $$2+\frac{1}{5}$$

Multiple Choice

What is the solution?

• $$\frac{1}{5}$$

• 5

• $$3\cdot\frac{1}{5}$$

• It is an unusual drawing

Multiple Choice

$$\frac{3}{5}\cdot\frac{1}{2}$$

• $$\frac{6}{5}$$

• $$\frac{11}{10}$$

• $$\frac{3}{10}$$

• $$\frac{4}{7}$$

Multiple Choice

$$\frac{3}{5}:\frac{1}{2}$$

• $$\frac{6}{5}$$

• $$\frac{11}{10}$$

• $$\frac{3}{10}$$

• $$\frac{4}{7}$$

Multiple Choice

$$\frac{-3}{5}\cdot\frac{7}{2}$$

• $$\frac{6}{5}$$

• $$\frac{11}{10}$$

• $$\frac{-21}{10}$$

• $$\frac{4}{7}$$

Multiple Choice

$$\frac{-3}{5}:\frac{7}{2}$$

• $$\frac{6}{35}$$

• $$\frac{-6}{35}$$

• $$\frac{-21}{10}$$

• $$\frac{4}{7}$$

Multiple Choice

$$\frac{2}{3}\cdot\frac{7}{10}$$

• $$\frac{16}{30}$$

• $$\frac{14}{20}$$

• $$\frac{-14}{30}$$

• $$\frac{7}{15}$$

Multiple Choice

$$\frac{2}{3}:\frac{7}{10}$$

• $$\frac{20}{21}$$

• $$\frac{14}{20}$$

• $$\frac{14}{30}$$

• $$\frac{7}{15}$$

Powers and roots

• To understand formulas is another smart mathematician's trick! 

​ Powers

​ Roots

Multiple Choice

$$\left(\frac{1}{2}\right)^3$$

• $$\frac{1}{6}$$

• $$\frac{1}{4}$$

• $$\frac{1}{8}$$

• It is impossible

Multiple Choice

$$\left(\frac{2}{5}\right)^2$$

• $$\frac{4}{10}$$

• $$\frac{4}{25}$$

• $$\frac{2}{5}$$

• It is impossible

Multiple Choice

$$\left(\frac{3}{6}\right)^2$$

• $$\frac{6}{12}$$

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

• It is impossible

Multiple Choice

$$\sqrt[]{\frac{1}{4}}$$

• $$\frac{1}{8}$$

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

• It is impossible

Multiple Choice

$$\sqrt[]{\frac{25}{9}}$$

• $$\frac{10}{6}$$

• $$\frac{3}{5}$$

• $$\frac{5}{3}$$

• It is impossible

Multiple Choice

$$-\ \ \ \sqrt[]{\frac{25}{9}}$$

• $$-\frac{10}{6}$$

• $$\frac{-3}{5}$$

• $$-\frac{5}{3}$$

• It is impossible

Multiple Choice

$$\ \ \sqrt[]{-\frac{25}{9}}$$

• $$-\frac{10}{6}$$

• $$\frac{-3}{5}$$

• $$-\frac{5}{3}$$

• It is impossible

Combined operations

​ Remember

Multiple Choice

$$\frac{1}{2}+\frac{2}{5}\cdot\frac{1}{3}$$

• $$\frac{17}{10}$$

• $$\frac{19}{30}$$

• $$\frac{27}{10}$$

• $$\frac{3}{10}$$

Multiple Choice

$$\frac{1}{3}-\left(\frac{1}{2}+\frac{5}{2}\right)-\frac{6}{4}$$

• $$\frac{-25}{6}$$

• $$\frac{50}{12}$$

• 5 $$\frac{5}{6}$$

• $$\frac{-5}{6}$$

Fill in the Blank

What fraction of the letters in the word "mathematics" are vowels?

( Write only the fraction)

Multiple Choice

Laura is painting a wall. If she has already painted one-sixth of it, what fraction does she have left to paint?

• $$\frac{4}{6}$$

• $$\frac{5}{6}$$

• $$\frac{1}{16}$$

Multiple Choice

Celia rode his bike 2/5 of a mile and walked another 3/4 of a mile. How far did he travel?

• $$\frac{6}{20}$$ of a mile

• $$\frac{23}{20}$$ of a mile

• $$\frac{8}{20}$$ of a mile

Open Ended

Write the fraction of the class that you think understands fractions

Open Ended

Write the fraction of the class that you think will pass the control

Poll

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