Writing Fractions as Decimal Numbers
Writing fractions as decimal numbers uses the fact that a fraction bar means division: the numerator divides by the denominator. In Grade 6 Saxon Math Course 1, students convert 5/16 to a decimal by computing 5 ÷ 16 = 0.3125. For fractions with denominators that are factors of 10 or 100, the decimal terminates quickly. For others, long division or a calculator provides the decimal equivalent. This skill is essential for comparing fractions and decimals on the same number line.
Key Concepts
Contextual Explanation When fractions have large or tricky numbers, doing long division by hand can feel like a marathon. Your calculator is the perfect tool for the job! Just remember that the fraction bar means 'divide,' type in the problem, and let the calculator do the heavy lifting in seconds.
Full Example Problem : Use a calculator to convert $\frac{11}{32}$ to a decimal number.
Step 1: Clear any previous calculations on your calculator.
Common Questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator: 3/4 = 3 ÷ 4 = 0.75.
What is 5/16 as a decimal?
5 ÷ 16 = 0.3125.
What is 1/3 as a decimal?
1 ÷ 3 = 0.333... (a repeating decimal, often written as 0.3̄).
Why does the fraction bar represent division?
The fraction a/b means 'a divided into b equal parts,' which is the same operation as a ÷ b.
How do you convert a fraction to a decimal without a calculator?
Set up long division with the numerator inside and the denominator outside. Add a decimal point and zeros after the numerator as needed to continue dividing.