When equations have lots of decimals, like the one seen below, you may be able to solve it as it is written, but it will probably be easier to clear the decimals first. To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers.

Keeping this in view, what is 5/12 as a decimal?

Fraction to Decimal Conversion Tables

fraction = decimal
1/12 = 0.0835/12 = 0.4167/12 = 0.583
1/16 = 0.06253/16 = 0.18755/16 = 0.3125
11/16 = 0.687513/16 = 0.8125
1/32 = 0.031253/32 = 0.093755/32 = 0.15625

Likewise, how do we divide decimals? To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

Also, how do you clear decimals in an equation?

To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply . 25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.

How do we multiply decimals?

Multiply the numbers just as if they were whole numbers.

  1. Line up the numbers on the right – do not align the decimal points.
  2. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
  3. Add the products.

Related Question Answers

How do you solve one step equations with fractions?

To solve one step equations involving fractions, we add, subtract, multiply, or divide a fraction from both sides of the equation to isolate the variable. That is, if a and b are fractions, and x is a variable, then we use the rules in the following table to solve for x in each of the one step equations.

What are the four rules of decimals?

You should become efficient in using the four basic operations involving decimals—addition, subtraction, multiplication, and division.

How do you solve a point addition?

Adding and Subtracting Decimals
  1. Write down the numbers, one under the other, with the decimal points lined up.
  2. Put in zeros so the numbers have the same length (see below for why that is OK)
  3. Then add using column addition, remembering to put the decimal point in the answer.

What is a decimal factor?

Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. When you multiply decimals, the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

How do we change a decimal to a fraction?

Convert Decimals to Fractions
  1. Step 1: Write down the decimal divided by 1, like this: decimal 1.
  2. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
  3. Step 3: Simplify (or reduce) the fraction.

Where is the tens place in a decimal?

Place Value for Decimals

For example, the number 0.1234 has a “1” in the tenths place, a “2” in the hundredths place, a “3” in the thousandths place, and a “4” in the ten thousandths place.