Math Problem Statement

Express each fraction as an equivalent decimal. You should enter an exact answer without rounding. You may use the repeating decimal function on the toolbar, if needed.

a) 1/8

​ ​ Preview ​ b) 15/8

​ ​ Preview ​ c) 1/3

​ ​​ Preview ​ d) 8/3

Solution

Let's convert each fraction to its equivalent decimal form:

a) 18\frac{1}{8}: 18=0.125\frac{1}{8} = 0.125

b) 158\frac{15}{8}: 158=1.875\frac{15}{8} = 1.875

c) 13\frac{1}{3}: 13=0.3(repeating decimal)\frac{1}{3} = 0.\overline{3} \quad \text{(repeating decimal)} This is a repeating decimal with the digit "3" repeating forever.

d) 83\frac{8}{3}: 83=2.6(repeating decimal)\frac{8}{3} = 2.\overline{6} \quad \text{(repeating decimal)} This is a repeating decimal with the digit "6" repeating forever.


Would you like further details or clarifications on how these conversions are done?

Related Questions:

  1. How do we convert a fraction to a repeating decimal?
  2. What does a repeating decimal represent mathematically?
  3. Can all fractions be expressed as finite decimals?
  4. What is the relationship between the numerator and denominator when determining the length of a repeating decimal?
  5. How can we approximate repeating decimals without showing the full sequence?

Tip: When working with repeating decimals, you can use the notation 3\overline{3} to represent the repeating digit.

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Math Problem Analysis

Mathematical Concepts

Fraction to Decimal Conversion
Repeating Decimals

Formulas

Fraction to Decimal Conversion Formula: a/b = c.d

Theorems

Repeating Decimal Theorem

Suitable Grade Level

Grades 5-7