How do you solve a proportion
Could you give us an example?
Here is an example: you have 1 over 2 = x over 6. You would do 2 times x which equals 2x then you would do 1 times 6 which is 6. 2x=6 then you would divide by 2 and your answer would be 3x. So basically your cross multiplying hope that this example helps you out.
Leslie can read about 2192 words is 8 minutes.About how many words can she read in 60 minutes?
(2192 words / 8 min) * 60 min = 16,440
or
2192/8 = x/60
multiply both sides by (60*8) also called "cross multiplying".
(2192/8)(60*8) = (x/60) * 60 * 8
2192 * 60 = 8 x
x = 2192 *60/8
which we already knew
2192 / 8 = x / 60
Cross multiply and solve for x
To solve a proportion, you need to set up an equation where two ratios or fractions are equal to each other. The general form of a proportion is:
a/b = c/d
To solve for an unknown value, you can use cross-multiplication or the method of equivalent fractions. Here are the steps to solve a proportion:
Step 1: Identify the given ratios or fractions:
Let's say we have the proportion 3/4 = x/12. In this case, 3/4 is one ratio, and x/12 is the other ratio.
Step 2: Set up the equation:
Write the given ratios in equation form, with an equal sign in between. In our example, the equation is: 3/4 = x/12.
Step 3: Solve the equation using cross-multiplication:
Cross multiply by multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa.
In our example:
4 * x = 3 * 12
Step 4: Simplify the equation:
Multiply the numbers on both sides of the equation.
4x = 36
Step 5: Solve for the unknown:
Divide both sides of the equation by the coefficient of x.
x = 36/4
Step 6: Simplify the solution:
Perform the division to find the value of x.
x = 9
Therefore, the solution to the proportion 3/4 = x/12 is x = 9.