Decimals and Fractions

🎬 Video Tutorial

(0:01) Decimals and Everyday Use: Decimals, commonly used for prices and measurements, consist of a whole number and a fractional part separated by a decimal point.
(1:16) Converting Decimals to Fractions: To convert a decimal to a fraction, count decimal places for the denominator (e.g., 0.4 becomes 4/10, 0.75 becomes to 75/100), then simplify if possible.
(2:30) Decimals Greater Than One: For decimals over 1, split off the whole number, convert the decimal part to a fraction, then combine for a simplified mixed number.

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Place value chart introducing decimals, sort digits from hundreds to thousandths, with the number 12.345 split into whole number and fractional parts. — 1) Decimal and Decimal Point

Showing decimal to fraction, 0.1 as 1/10, 0.01 as 1/100, 0.001 as 1/1000, 0.4 as 4/10 or 2/5, 0.75 as 75/100 or 3/4, and 0.028 as 28/1000 or 7/250. — 2) Converting Decimals to Fractions

Decimals greater than 1 to fractions, showing conversion of 8.25 to 825/100, 165/20, and 33/4, and breaking 8.25 into 8 and 0.25 as 8 + 1/4. — 3) Converting Decimals greater than 1 to Fractions

🍪 Quiz

Decimals and Fractions

1 / 6

Q: What is 0.01 as a fraction?

$\frac{1}{100}$

$\frac{1}{20}$

$\frac{1}{10}$

$\frac{1}{50}$

2 / 6

Q: What is 0.4 as a fraction in its simplest form?

$\frac{2}{5}$

$\frac{1}{2}$

$\frac{4}{10}$

$\frac{1}{4}$

3 / 6

Q: Convert 0.45 to a fraction in its simplest form.

$\frac{3}{5}$

$\frac{2}{3}$

$\frac{9}{20}$

$\frac{4}{9}$

4 / 6

Q: Which fraction is equal to 0.28 in its simplest form?

$\frac{2}{7}$

$\frac{7}{20}$

$\frac{7}{25}$

$\frac{14}{50}$

5 / 6

Q: Convert 0.22 to a fraction in simplest form.

$\frac{9}{20}$

$\frac{7}{25}$

$\frac{11}{25}$

$\frac{11}{50}$

6 / 6

Q: Convert 0.375 to a fraction in its simplest form.

$\frac{5}{8}$

$\frac{3}{4}$

$\frac{3}{10}$

$\frac{3}{8}$

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Numbers and Decimals

Decimals and Fractions

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