Convert Fraction to Decimal: Solving 22/20 Step by Step

Question

Convert 2220 \frac{22}{20} into a decimal.

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 We want a denominator that's a multiple of 10 and 10
00:09 Therefore we'll expand the fraction, making sure to multiply both numerator and denominator
00:22 Convert to decimal fraction
00:27 We'll place the numerator as a whole number
00:32 When the denominator equals 100
00:35 Move the decimal point 2 places to the left
00:38 And this is the solution to the question

Step-by-Step Solution

To convert the fraction 2220 \frac{22}{20} into a decimal, we will perform the following steps:

  • Step 1: Simplify the fraction.
    The fraction 2220 \frac{22}{20} can be simplified by dividing both the numerator and the denominator by 2, the greatest common divisor.
    This results in 1110 \frac{11}{10} .
  • Step 2: Convert the simplified fraction to a decimal.
    Since 1110 \frac{11}{10} is the same as 11 divided by 10, we calculate 11÷10=1.1 11 \div 10 = 1.1 .

Therefore, the decimal form of 2220 \frac{22}{20} is 1.1 1.1 .

Based on the provided answer choices, the correct choice is 1.1 (Choice 1).

The solution to the problem is 1.1 1.1 .

Answer

1.1