Fractions, Decimals & Percentages Flashcards

All 13 cards in this deck

How do you write a fraction with denominator 10, 100 or 1000 as a decimal?

e.g. $\frac{7}{100}$

The denominator tells you the number of decimal places (100 → 2 places): $\frac{7}{100} = 0.07$

What are the steps to write a fraction as a decimal?

e.g. write $\frac{3}{4}$ as a decimal

1. Make an equivalent fraction with denominator 10, 100 or 1000: $\frac{3}{4} = \frac{75}{100}$
2. Or divide the numerator by the denominator: $3 \div 4$
3. Write the decimal: $0.75$

What are the steps to write a decimal as a fraction in its simplest form?

e.g. write $0.75$ as a fraction

1. Put the digits over 10, 100 or 1000 (2 d.p. → 100): $\frac{75}{100}$
2. Divide top and bottom by a common factor: $\div 25$
3. Simplest form: $\frac{3}{4}$

How do you write a fraction as a percentage?

e.g. $\frac{4}{5}$

Change it to a decimal and multiply by 100 (or make the denominator 100): $\frac{4}{5} = 0.8 = 80\%$

How do you write a percentage as a fraction in its simplest form?

e.g. $40\%$

Write it over 100, then simplify: $\frac{40}{100} = \frac{2}{5}$

True or false? To write $7\%$ as a decimal you write $0.7$

False. Divide by 100, so $7\% = 0.07$.

What are the steps to write a mixed set of fractions, decimals and percentages in order of size, smallest first?

e.g. $\frac{2}{5}$, $0.55$, $45\%$

1. Convert them all to decimals: $0.4$, $0.55$, $0.45$
2. Order the decimals, smallest first: $0.4$, $0.45$, $0.55$
3. Write the list in the original forms: $\frac{2}{5}$, $45\%$, $0.55$

True or false? $0.558$ is bigger than $0.56$ because it has more digits

False. Fill with zeros and compare place by place: $0.560 > 0.558$.

How do you decide which of two fractions is larger?

e.g. $\frac{3}{5}$ and $\frac{5}{8}$

Write them with a common denominator (or as decimals): $\frac{24}{40}$ and $\frac{25}{40}$, so $\frac{5}{8}$ is larger.

True or false? $\frac{1}{5}$ is bigger than $25\%$

False. $\frac{1}{5} = 20\%$, which is smaller than $25\%$.

Which of two negative decimals is the smaller?

e.g. $-0.3$ and $-0.7$

$-0.7$ — the further a negative number is from zero, the smaller it is.

True or false? $0.4$, $40\%$ and $\frac{2}{5}$ all have the same value.

True. $\frac{2}{5} = \frac{40}{100} = 0.4 = 40\%$.

True or false? $\frac{7}{1000} = 0.007$

True.

Thousandths need three decimal places.