Smultron 12 0 8 Decimal

• Smultron 12 0 8 Decimal Percent
• Smultron 12 0 8 Decimal Equals
• Smultron 12 0 8 Decimal =
• Smultron 12 0 8 Decimal Fraction

Answer: The quotient of 13.93 and 0.35 is 39.8. Note that in Example 1, the quotient is a whole number (12), and in Example 2, the quotient is a decimal (39.8). Example 3: Analysis: The divisor is 0.009. To make it a whole number, we will multiply both the dividend and the divisor by 1,000. Smultron 12 is the text editor for all of us. Smultron is powerful and confident without being complicated. Its elegance and simplicity helps everyone being creative and to write and edit all sorts of texts.You can use Smultron to write everything from a web page, a script, a to do list, a novel to a whole app. Smultron is designed for both beginners and experts.

Solve Equations with Fraction Coefficients

Let's use the General Strategy for Solving Linear Equations introduced earlier to solve the equation (dfrac{1}{8}x + dfrac{1}{2} = dfrac{1}{4}).

This method worked fine, but many students don't feel very confident when they see all those fractions. So we are going to show an alternate method to solve equations with fractions. This alternate method eliminates the fractions.

We will apply the Multiplication Property of Equality and multiply both sides of an equation by the least common denominator of all the fractions in the equation. The result of this operation will be a new equation, equivalent to the first, but with no fractions. This process is called clearing the equation of fractions. Let's solve the same equation again, but this time use the method that clears the fractions.

Example (PageIndex{1}):

Solve: (dfrac{1}{8} x + dfrac{1}{2} = dfrac{1}{4}).

Solution

Exercise (PageIndex{1}):

Solve: (dfrac{1}{4} x + dfrac{1}{2} = dfrac{5}{8}).

(x = frac{1}{2})

Exercise (PageIndex{2}):

Solve: (dfrac{1}{6} y - dfrac{1}{3} = dfrac{1}{6}).

y = 3

Notice in Example 8.37 that once we cleared the equation of fractions, the equation was like those we solved earlier in this chapter. We changed the problem to one we already knew how to solve! We then used the General Strategy for Solving Linear Equations.

HOW TO: SOLVE EQUATIONS WITH FRACTION COEFFICIENTS BY CLEARING THE FRACTIONS

Step 1. Find the least common denominator of all the fractions in the equation.

Step 2. Multiply both sides of the equation by that LCD. This clears the fractions.

Step 3. Solve using the General Strategy for Solving Linear Equations.

Example (PageIndex{2}):

Solve: 7 = (dfrac{1}{2} x + dfrac{3}{4} x − dfrac{2}{3} x).

Solution

We want to clear the fractions by multiplying both sides of the equation by the LCD of all the fractions in the equation.

Exercise (PageIndex{3}):

Solve: 6 = (dfrac{1}{2} v + dfrac{2}{5} v − dfrac{3}{4} v).

v = 40

Exercise (PageIndex{4}):

Solve: -1 = (dfrac{1}{2} u + dfrac{1}{4} u − dfrac{2}{3} u).

u = -12

In the next example, we'll have variables and fractions on both sides of the equation.

Example (PageIndex{3}):

Solve: (x + dfrac{1}{3} = dfrac{1}{6} x − dfrac{1}{2}).

Solution

Exercise (PageIndex{5}):

Solve: (a + dfrac{3}{4} = dfrac{3}{8} a − dfrac{1}{2}).

a = -2

Exercise (PageIndex{6}):

Solve: (c + dfrac{3}{4} = dfrac{1}{2} c − dfrac{1}{4}).

c = -2

In Example 8.40, we'll start by using the Distributive Property. This step will clear the fractions right away!

Example (PageIndex{4}):

Solve: 1 = (dfrac{1}{2})(4x + 2).

Solution

Smultron 12 0 8 Decimal Percent

Exercise (PageIndex{7}):

Solve: −11 = (dfrac{1}{2})(6p + 2).

p = -4

Exercise (PageIndex{8}):

Solve: 8 = (dfrac{1}{3})(9q + 6).

q = 2

Many times, there will still be fractions, even after distributing.

Example (PageIndex{5}):

Solve: (dfrac{1}{2})(y − 5) = (dfrac{1}{4})(y − 1).

Smultron 12 0 8 Decimal Equals

Solution

Exercise (PageIndex{9}):

Solve: (dfrac{1}{5})(n + 3) = (dfrac{1}{4})(n + 2).

n = 2

Exercise (PageIndex{10}):

Solve: (dfrac{1}{2})(m − 3) = (dfrac{1}{4})(m − 7).

Smultron 12 0 8 Decimal =

m = -1

Smultron 12 0 8 Decimal Fraction