- 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
To write 6 9 in lowest terms, divide both the numerator and denominator by the greatest common factor, in this case 3: 6 ÷ 3 9 ÷ 3 = 2 3 So 6 9 written in lowest terms is 2 3. This is known as reducing fractions.
- Selected Reading
Introduction
- Method 2 - Greatest Common Divisor. To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the GCD (Greatest Common Divisor). For example, 3/4 is in lowest form, but 6/8 is not in lowest form (the GCD of 6 and 8 is 2) and 6/8 can be written as 3/4.
- Write in lowest terms (5k^2-13k-6)/(5k+2) See answers (2) Ask for details; Follow Report Log in to add a comment Answer 1. Taffy927x2 learned from this answer You've got: (5k^2-13k-6)/5k+2 then, we can break the brackets and operate the fraction = 5k^2-13K-6/5k+2.
- Ex 8.2, 7 Write as fractions in lowest terms. (a) 0.60 0.60 = 060/100 = 60/100Simplifying fraction = 60/100 = 6/10 = 𝟑/𝟓Ex 8.2, 7 Write as fractions in lowest terms.
- On the other hand, 2 ⁄ 4 is reducible since it is equal in value to 1 ⁄ 2, and the numerator of 1 ⁄ 2 is less than the numerator of 2 ⁄ 4. A fraction that is reducible can be reduced by dividing both the numerator and denominator by a common factor. It can be fully reduced to lowest terms if both are divided by their greatest common.
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
Write 2 6 In Lowest Terms:
Step 1:
The ratio $4.8:5.6 = frac{4.8}{5.6}$
Step 2: Complete anatomy 2018 3 2 – anatomy learning platforms. Mac app store internet explorer. Stable link track.
We multiply and divide the fraction by 10
Celeste 1 2 6 1 download free. $frac{4.8}{5.6} = frac{left ( 4.8 times 10 right )}{left ( 5.6 times 10 right )} = frac{48}{56}$
18 30 In Lowest Terms
Step 3:
HCF of 48 and 56 is 8
Simplifying
$frac{left ( frac{48}{8} right )}{left ( frac{56}{8} right )} = frac{6}{7} space or space 6:7$
- Selected Reading
Introduction
- Method 2 - Greatest Common Divisor. To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the GCD (Greatest Common Divisor). For example, 3/4 is in lowest form, but 6/8 is not in lowest form (the GCD of 6 and 8 is 2) and 6/8 can be written as 3/4.
- Write in lowest terms (5k^2-13k-6)/(5k+2) See answers (2) Ask for details; Follow Report Log in to add a comment Answer 1. Taffy927x2 learned from this answer You've got: (5k^2-13k-6)/5k+2 then, we can break the brackets and operate the fraction = 5k^2-13K-6/5k+2.
- Ex 8.2, 7 Write as fractions in lowest terms. (a) 0.60 0.60 = 060/100 = 60/100Simplifying fraction = 60/100 = 6/10 = 𝟑/𝟓Ex 8.2, 7 Write as fractions in lowest terms.
- On the other hand, 2 ⁄ 4 is reducible since it is equal in value to 1 ⁄ 2, and the numerator of 1 ⁄ 2 is less than the numerator of 2 ⁄ 4. A fraction that is reducible can be reduced by dividing both the numerator and denominator by a common factor. It can be fully reduced to lowest terms if both are divided by their greatest common.
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
Write 2 6 In Lowest Terms:
Step 1:
The ratio $4.8:5.6 = frac{4.8}{5.6}$
Step 2: Complete anatomy 2018 3 2 – anatomy learning platforms. Mac app store internet explorer. Stable link track.
We multiply and divide the fraction by 10
Celeste 1 2 6 1 download free. $frac{4.8}{5.6} = frac{left ( 4.8 times 10 right )}{left ( 5.6 times 10 right )} = frac{48}{56}$
18 30 In Lowest Terms
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
Example 2Simplify the ratio 6.3:1.89
Solution
Ifinance 4 4 4 9. 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
