Podcast
Questions and Answers
What is the total number of hectares allocated for the crops?
What is the total number of hectares allocated for the crops?
- 12 hectares
- 6 hectares
- 9 hectares (correct)
- 3 hectares
How is the total land divided based on the ratio of 2:3?
How is the total land divided based on the ratio of 2:3?
- Into 5 parts (correct)
- Into 10 parts
- Into 7 parts
- Into 4 parts
If the man wanted to change the ratio to 1:4, what would the total number of parts be?
If the man wanted to change the ratio to 1:4, what would the total number of parts be?
- 6 parts (correct)
- 10 parts
- 5 parts
- 7 parts
What fraction of the land is allocated for sheltering animals?
What fraction of the land is allocated for sheltering animals?
What is the size of the smaller area for the animals in hectares?
What is the size of the smaller area for the animals in hectares?
What is the ratio of cups of sugar to cups of flour in simplest form?
What is the ratio of cups of sugar to cups of flour in simplest form?
How many total cups are in the mixture of flour and sugar?
How many total cups are in the mixture of flour and sugar?
What fraction of the mixture is made up of flour?
What fraction of the mixture is made up of flour?
Which of the following represents a rate?
Which of the following represents a rate?
What is the lowest term of the ratio of flour to the total mixture?
What is the lowest term of the ratio of flour to the total mixture?
If the number of cups of sugar was doubled, what would the new ratio of sugar to flour be?
If the number of cups of sugar was doubled, what would the new ratio of sugar to flour be?
Which of the following statements about ratios is correct?
Which of the following statements about ratios is correct?
What is the correct way to express the cups of sugar in relation to the cups of flour?
What is the correct way to express the cups of sugar in relation to the cups of flour?
What characterizes a proper fraction?
What characterizes a proper fraction?
How can an improper fraction be defined?
How can an improper fraction be defined?
Which of the following is an example of a mixed number?
Which of the following is an example of a mixed number?
What is the first step to convert the improper fraction 5/4 into a mixed number?
What is the first step to convert the improper fraction 5/4 into a mixed number?
What describes the conversion of a mixed number to an improper fraction?
What describes the conversion of a mixed number to an improper fraction?
How would the improper fraction 9/4 be expressed as a mixed number?
How would the improper fraction 9/4 be expressed as a mixed number?
Which statement about improper fractions and mixed numbers is true?
Which statement about improper fractions and mixed numbers is true?
What is an example of an improper fraction?
What is an example of an improper fraction?
How many pencils can be purchased with P36.75 if 2 pencils cost P10.50?
How many pencils can be purchased with P36.75 if 2 pencils cost P10.50?
How many workers are needed to tile the wall in 2 days if it takes 7 days for 6 workers?
How many workers are needed to tile the wall in 2 days if it takes 7 days for 6 workers?
How long will the corn last if there are 400 hens instead of 300?
How long will the corn last if there are 400 hens instead of 300?
What is the total cost of 14 pencils if 2 pencils cost P10.50?
What is the total cost of 14 pencils if 2 pencils cost P10.50?
If 300 hens can be fed for 20 days, how long would 150 hens last with the same amount of corn?
If 300 hens can be fed for 20 days, how long would 150 hens last with the same amount of corn?
In the wall tiling problem, how many total days would it take for 3 workers?
In the wall tiling problem, how many total days would it take for 3 workers?
If 6 workers can complete the job in 7 days, how many total days would it take for 2 workers?
If 6 workers can complete the job in 7 days, how many total days would it take for 2 workers?
What is the direct proportional relationship established in the pencil purchase scenario?
What is the direct proportional relationship established in the pencil purchase scenario?
How do you add similar fractions?
How do you add similar fractions?
What is the first step to add dissimilar fractions?
What is the first step to add dissimilar fractions?
When subtracting similar fractions, how is the operation performed?
When subtracting similar fractions, how is the operation performed?
What is the process for rewriting fractions when finding the LCD?
What is the process for rewriting fractions when finding the LCD?
If you have the fractions 1/4 and 2/4, what is their sum?
If you have the fractions 1/4 and 2/4, what is their sum?
Which of the following fractions simplifies correctly to 1?
Which of the following fractions simplifies correctly to 1?
If you subtract 6/8 from 7/8, what is the result?
If you subtract 6/8 from 7/8, what is the result?
For the fractions 1/2 and 1/3, what is the first step to add them?
For the fractions 1/2 and 1/3, what is the first step to add them?
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Study Notes
Fractions
- Proper fractions have a numerator less than the denominator and represent a number less than 1
- Improper fractions have a numerator greater than the denominator and represent a number greater than 1
- Mixed numbers have a whole number and a fraction
Converting Fractions
- To convert an improper fraction to a mixed number: divide the numerator by the denominator
- To convert a mixed number to an improper fraction: multiply the denominator by the whole number, then add the numerator. The sum becomes the new numerator, the denominator stays the same
Adding and Subtracting Fractions
- Similar fractions have the same denominator
- To add similar fractions: add the numerators and copy the denominator
- To subtract similar fractions: subtract the latter numerator from the first numerator, then copy the denominator
- Dissimilar fractions have different denominators
- To add or subtract dissimilar fractions: find the least common denominator (LCD), which is the smallest number divisible by both original denominators.
- Divide LCD by each original denominator and multiply the result with each original numerator.
- Add or subtract resulting fractions.
Ratios
- Ratios compare quantities with the same unit.
- Ratios can be expressed in colon form (e.g., 2:6) or fraction form (e.g., 2/6)
- Ratio can be simplified
Rates
- Rates compare quantities with different units
- Rates are often expressed as a fraction (e.g., km/hr, ft/s, PhP/USD)
Direct Proportion
- Direct proportion means as one quantity increase, the other increases proportionally.
- If a:b = c:d then (a)(d) = (b)(c)
Indirect Proportion
- Indirect proportion means as one quantity increases, the other decreases proportionally.
- If a:b = c:d then (a)(c) = (b)(d)
Partitive Proportion
- Dividing a number or quantity into parts based on a given ratio.
- The sum of the parts in the ratio represents the total number of parts.
- To find the value of each part, divide the total number by the total parts and multiply the result by the relevant part of the ratio.
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