- Ratios and Unit Rates
- Writing Ratios Using Different Notations
- Writing Ratios for Real-World Situations
- Identifying Statements that Describe a Ratio
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Simplifying a Ratio of Decimals
- Finding a Unit Price
- Using Tables to Compare Ratios
- Computing Unit Prices to Find the Better Buy
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Solving a Word Problem on Proportions Using a Unit Rate
- Solving a One-Step Word Problem Using the Formula d = rt
- Function Tables with One-Step Rules
- Finding Missing Values in a Table of Equivalent Ratios
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Writing an Equation to Represent a Proportional Relationship
- As shown above, we take the common prime factors of 90 and 120 (including repeats), which are 2, 3 and 5, and multiply them: 2 x 3 x 5 = 30. 30 is the greatest common factor between 90 and 120. Therefore, we divide the numerator and denominator by 30. 90/120 written in lowest terms is 3/4. Let’s look at a trick to put fractions in lowest terms.
- The Reduce Fractions Calculator is used to reduce any fractions to its lowest terms. Enter your numerator and denominator into the boxes above, then click the “Reduce Fraction” button. The calculator will divide both the numerator and the denominator by their Greatest Common Factor (GCF) and reduce it to its lowest.
- Input parameters & values: The decimal number = 6.2 step 2 Write it as a fraction 6.2/1 step 3 Multiply 10 to both numerator & denominator (6.2 x 10)/(1 x 10) = 62/10 It can be written as 620% = 620/100 or 62/10 step 4 To simplify 62/10 to its lowest terms, find LCM (Least Common Multiple) for 62 & 10. 2 is the LCM for 62 & 10.
- How to write rational expressions in lowest terms? Step 1: Factor them Step 2: Cancel to write in lowest terms Give the domain of the expressions Examples: Simplify a) (x + 2)/(x 2 + 5x + 6) b) (x 2 + 2x - 15)/(x 2 + x - 12) Show Step-by-step Solutions.
- Selected Reading
Writing a Rational Expression in Lowest Terms To write a rational expression in lowest terms, we must first find all common factors (constants, variables, or polynomials) or the numerator and the denominator. Thus, we must factor the numerator and the denominator.
We have ratios of whole numbers and ratios of decimal numbers too. It is required that ratios in simplified form have whole numbers.
Rules to simplify a ratio of decimals
- To simplify a ratio of decimals we remove the decimal point and reduce the ratio to a ratio of whole numbers.
- We multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal.
- Then the fraction is simplified to be in its lowest terms.
- This gives simplified ratio of decimals as a ratio of whole numbers in simplest form.
Simplify the ratio 4.8:5.6
Solution
Step 1:
The ratio $4.8:5.6 = frac{4.8}{5.6}$
Step 2:
We multiply and divide the fraction by 10
![Write 2 6 In Lowest Terms Write 2 6 In Lowest Terms](https://d1avenlh0i1xmr.cloudfront.net/bf7e7105-ed68-49b9-967f-7b70e9199839/slide14.jpg)
$frac{4.8}{5.6} = frac{left ( 4.8 times 10 right )}{left ( 5.6 times 10 right )} = frac{48}{56}$
Step 3:
HCF of 48 and 56 is 8
Simplifying
$frac{left ( frac{48}{8} right )}{left ( frac{56}{8} right )} = frac{6}{7} space or space 6:7$
Step 4:
So, the simplified ratio of 4.8:5.6 is 6:7
Simplify the ratio 6.3:1.89
Solution
Step 1:
The ratio $6.3:1.89 = frac{6.3}{1.89}$
Step 2:
We multiply and divide the fraction by 100
$frac{6.3}{1.89} = frac{left ( 6.3 times 100 right )}{left ( 1.89 times 100 right )} = frac{630}{189}$
Step 3:
HCF of 630 and 189 is 63
Simplifying
$frac{left ( frac{630}{63} right )}{left ( frac{189}{63} right )} = frac{10}{3} space or space 10:3$
Step 4:
So, the simplified ratio of 6.3:1.89 is 10:3
Write Fractions in Lowest Terms :
In this section, you will learn, how to a fraction in its lowest term.
Write Fractions in Lowest Terms - Steps
Step 1 :
Find the greatest common divisor of both numerator and denominator.
Step 2 :
Divide both numerator and denominator by the greatest common divisor.
Write Fractions in Lowest Terms - Examples
Example 1 :
Write the fraction given below in its lowest term.
24/40
Solution :
In the given fraction, the greatest common divisor of both numerator and denominator is 8.
So, divide both numerator and denominator by 8.
24/40 = (24 ÷ 8) / (40 ÷ 8)
24/40 = 3/5
Example 2 :
Write the fraction given below in its lowest term.
21/77
Solution :
In the given fraction, the greatest common divisor of both numerator and denominator is 7.
So, divide both numerator and denominator by 7.
21/77 = (21 ÷ 7) / (77 ÷ 7)
Write 2 6 In Lowest Terms:
21/77 = 3/11
Example 3 :
Write the fraction given below in its lowest term.
100/125
Solution :
In the given fraction, the greatest common divisor of both numerator and denominator is 25.
So, divide both numerator and denominator by 25.
100/125 = (100 ÷ 25) / (125 ÷ 25)
100/125 = 4/5
Example 4 :
Write the fraction given below in its lowest term.
52/169
Solution :
In the given fraction, the greatest common divisor of both numerator and denominator is 13.
So, divide both numerator and denominator by 13.
![Write 2 6 In Lowest Terms Write 2 6 In Lowest Terms](https://i.ytimg.com/vi/F2tFPKvPoHw/hqdefault.jpg)
52/169 = (52 ÷ 13) / (169 ÷ 13)
52/169 = 4/13
Example 5 :
Write the fraction given below in its lowest term.
250/350
Solution :
In the given fraction, the greatest common divisor of both numerator and denominator is 50.
So, divide both numerator and denominator by 50.
250/350 = (250 ÷ 50) / (350 ÷ 50)
250/350 = 5/7
Example 6 :
Write the fraction given below in its lowest term.
1000/1300
Solution :
In the given fraction, the greatest common divisor of both numerator and denominator is 100.
So, divide both numerator and denominator by 100.
1000/1300 = (1000 ÷ 100) / (1300 ÷ 100)
1000/1300 = 10/13
After having gone through the stuff given above, we hope that the students would have understood, how to write a fraction in its lowest term using divisibility rules.
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