Converting $$0.375$$ to a fraction (show steps)

latex="0.375 = \frac{375}{1000} = \frac{3}{8}">

$$0.2$$ as a fraction (explain process)

latex="0.2 = \frac{2}{10} = \frac{1}{5}">

$$0.444\ldots$$ as a fraction (show steps)

latex="x = 0.444\ldots \implies 10x - x = 4.444\ldots - 0.444\ldots \implies 9x = 4 \implies x = \frac{4}{9}">

$$\frac{5}{6}$$ as a decimal (show steps)

latex="5 \div 6 = 0.833\ldots">

Deciding if $$0.142857$$ is a repeating decimal

$$0.142857$$ is not repeating; $$0.\overline{142857}$$ is repeating

Comparing $$\frac{1}{3}$$ and $$0.3$$ (which is greater?)

latex="\frac{1}{3} = 0.333\ldots > 0.3">

Converting $$0.727272\ldots$$ to a fraction (show reasoning)

latex="x = 0.727272\ldots \implies 100x - x = 72.7272\ldots - 0.7272\ldots \implies 99x = 72 \implies x = \frac{72}{99} = \frac{8}{11}">

Explaining why $$\frac{1}{7}$$ is a repeating decimal

latex="1 \div 7 = 0.142857142857\ldots"> ; digits repeat every 6 places

Decimals and Fractions Mastery Flashcards

Student preview

20 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

latex="\frac{1}{2}">

2.

FLASHCARD QUESTION

Front

Back

latex="0.75">

3.

FLASHCARD QUESTION

Front

Back

latex="\frac{1}{4}">

4.

FLASHCARD QUESTION

Front

Back

latex="0.4">

5.

FLASHCARD QUESTION

Front

Back

latex="\frac{1}{3}">

6.

FLASHCARD QUESTION

Front

Back

latex="0.7">

7.

FLASHCARD QUESTION

Front

Back

latex="\frac{1}{8}">

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