How to do Ratios in middle school
1 answer:
Answer:
go look up this website for more help: https://www.educationworld.com/a_curr/explainthat/explainthat006.shtml
Step-by-step explanation:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.
A ratio may be specified either by giving both constituting numbers, written as "a to b" or "a∶b", or by giving just the value of their quotient
a
/
b
.[1] Equal quotients correspond to equal ratios.
Consequently, a ratio may be considered as an ordered pair of numbers, as a fraction with the first number in the numerator and the second as denominator, or as the value denoted by this fraction. Ratios of counts, given by (non-zero) natural numbers, are rational numbers, and may sometimes be natural numbers. When two quantities are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of two quantities that are measured with different units is called a rate.[2]
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Answer:
x = 45
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/3-(15)=0
Step 1 : <u>Simplify</u>
Equation at the end of step 1 :
- 15 = 0
Step 2 :
<u>Rewriting the whole as an Equivalent Fraction :</u>
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
<u>Equivalent fraction :</u> The fraction thus generated looks different but has the same value as the whole
<u>Common denominator : </u>The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
Equation at the end of step 2 :
Step 3 :
When a fraction equals zero :
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-45 = 0
Solving a Single Variable Equation :
<u>Solve :</u> x-45 = 0
Add 45 to both sides of the equation :
x = 45
One solution was found :
x = 45