Convert Mixed Number 1 11/50 to Decimal: Step-by-Step Solution

Question

11150= 1\frac{11}{50}=

Video Solution

Solution Steps

00:03 Let's convert the number into a decimal fraction.
00:07 First, break it down into a whole number and a fraction.
00:12 Our goal is to have the denominator become a multiple of ten.
00:17 Multiply both the numerator and the denominator by the same number. This keeps the fraction the same.
00:26 Now, let's convert the fraction into a decimal.
00:36 Add the decimal to the whole number.
00:45 And there you have it! That's the answer to our problem.

Step-by-Step Solution

To find the decimal equivalent of the mixed number 11150 1\frac{11}{50} , we need to convert the fractional part into a decimal.

Step 1: Convert the fractional part 1150\frac{11}{50} into a fraction with a denominator of 100. To do this, multiply both the numerator and the denominator by 2:

11×250×2=22100 \frac{11 \times 2}{50 \times 2} = \frac{22}{100}

Step 2: Now, convert the fraction 22100\frac{22}{100} into a decimal. Since the fraction has a denominator of 100, it can easily be expressed as a decimal:

22100=0.22 \frac{22}{100} = 0.22

Step 3: Combine this decimal with the whole number part of the mixed number. The whole number part is 1, so we add 1 and 0.22:

1+0.22=1.22 1 + 0.22 = 1.22

Therefore, the decimal equivalent of 11150 1\frac{11}{50} is 1.22\mathbf{1.22}.

Answer

1.22 1.22