Convert 89.65 to Fraction: Decimal Transformation Guide

Question

Convert 89.65 into a fraction.

Video Solution

Solution Steps

00:00 Convert to mixed fraction
00:03 Break down the number into whole number and remainder
00:06 Convert the remainder to a fraction
00:10 The denominator depends on the number of digits after the decimal point
00:16 There are 2 digits, so the denominator will be 100
00:23 Place the digits in the numerator as a number
00:26 Combine into a mixed fraction
00:32 And this is the solution to the question

Step-by-Step Solution

Let's convert the decimal number 89.65 into a fraction step by step:

  • Step 1: Identify 89.65 as a mixed number with an integer part of 89 and a decimal part of 0.65.
  • Step 2: Express the decimal part 0.65 as a fraction:
    • 0.65 can be written as 65100 \frac{65}{100} because the digit 5 is in the hundredths place, meaning we divide 65 by 100.
  • Step 3: Combine the integer and fractional parts to form a mixed number:
    • The number 89.65 can be expressed as the mixed number 89+65100 89 + \frac{65}{100} , or 8965100 89\frac{65}{100} .

Therefore, the decimal 89.65 can be expressed as 8965100 89\frac{65}{100} .

Answer

8965100 89\frac{65}{100}