Decimal-Fraction Conversion Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Convert 35\frac{3}{5} to a decimal.

Solution

  1. 1
    Divide: 3÷5=0.63 \div 5 = 0.6.
  2. 2
    Alternatively, multiply numerator and denominator by 22: 35=610=0.6\frac{3}{5} = \frac{6}{10} = 0.6.

Answer

0.60.6
When the denominator is 5, an easy shortcut is to multiply both parts by 2 to get a denominator of 10, then read the decimal directly. Division always works as a general method.

About Decimal-Fraction Conversion

Converting between fraction form and decimal form of a number: divide numerator by denominator for fraction-to-decimal, and use place value to go the other way.

Learn more about Decimal-Fraction Conversion →

More Decimal-Fraction Conversion Examples

Example 1 easy

Convert [formula] to a decimal.

Example 2 medium

Convert [formula] to a fraction in simplest form.

Example 4 hard

Convert [formula] to a fraction, then determine whether [formula] and [formula] are equal by compari

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