Solve: (0.18 + 0.37)/(89 + 13 - 2) Complex Fraction Problem

Question

0.18+0.3789+1321= ? \frac{0.18+0.37}{89+13-\frac{2}{1}}=\text{ ?}

Video Solution

Solution Steps

00:00 Solve the following problem
00:05 Rewrite the fraction as a division expression
00:14 Use long addition in order to calculate
00:20 This is the calculation for the numerator
00:23 Use long addition again and calculate the denominator
00:27 This is the calculation for the first operation denominator
00:35 This is the calculation for the denominator
00:40 Let's continue to solve the problem
00:43 Dividing by 100 means moving the decimal point twice to the left
00:46 Here is the solution

Step-by-Step Solution

First let's work out the numerator of the fraction:

0.18+0.37=0.55 0.18+0.37=0.55

Now we can work out the denominator of the fraction, starting with the division exercise below:

21=2 \frac{2}{1}=2

This gives us the following:

89+132= 89+13-2=

Then we can solve from left to right:

89+13=102 89+13=102

1022=100 102-2=100

This gives us the following:

0.55100=0.55:100 \frac{0.55}{100}=0.55:100

We will then move the decimal point two places to the left—due to the two zeros of 100—to get the answer:

0.0055 0.0055

Answer

0.0055