Decimal-Fraction Conversion Math Example 1

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

Example 1

easy
Convert 78\frac{7}{8} to a decimal.

Solution

  1. 1
    Divide the numerator by the denominator: 7รท87 \div 8.
  2. 2
    7.000รท87.000 \div 8: 88 goes into 7070 eight times (6464), remainder 66. Bring down: 6060. 88 into 6060 is 77 (5656), remainder 44. Bring down: 4040. 88 into 4040 is 55, remainder 00.
  3. 3
    Result: 7รท8=0.8757 \div 8 = 0.875.

Answer

0.8750.875
To convert a fraction to a decimal, perform long division of the numerator by the denominator. When the remainder reaches zero, the decimal terminates. A fraction terminates when the denominator (in lowest terms) has only factors of 2 and/or 5.

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 โ†’

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