Common Fractions Grade 7 Caps South Africa:
Common Fractions Topics: Grade 7 Caps South Africa
Common fractions are an important part of the grade 7 mathematics curriculum in South Africa, as outlined in the CAPS (Curriculum and Assessment Policy Statement) document. Here are some of the key topics related to common fractions covered in grade 7:
- Understanding fractions: Students learn to identify and describe fractions, including proper and improper fractions, mixed numbers, and equivalent fractions.
- Addition and subtraction of fractions: Students learn to add and subtract fractions with the same and different denominators, including mixed numbers.
- Multiplication and division of fractions: Students learn to multiply and divide fractions, including mixed numbers.
- Comparing and ordering fractions: Students learn to compare and order fractions with the same and different denominators.
- Simplifying fractions: Students learn to simplify fractions to their lowest terms by finding common factors and dividing.
- Converting fractions: Students learn to convert between fractions, decimals, and percentages.
- Word problems: Students learn to solve real-world problems involving fractions, such as problems involving money, measurements, and ratios.
Video: Grade 7 & 8 Maths – Common Fractions
By the end of grade 7, students should be able to apply their understanding of fractions to solve a range of mathematical problems and communicate their solutions effectively.
Common Fractions Grade 7 Questions and Answers
Question 1: What is 3/4 + 1/2?
Answer: To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4 x 2 = 8. We then rewrite each fraction with the common denominator:
3/4 = 6/8 1/2 = 4/8
Now we can add the fractions:
6/8 + 4/8 = 10/8
However, 10/8 is an improper fraction, so we simplify it by dividing both the numerator and denominator by their greatest common factor, which is 2:
10/8 = 5/4
Therefore, 3/4 + 1/2 = 5/4.
Question 2: What is 2/3 – 1/6?
Answer: To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 6. We then rewrite each fraction with the common denominator:
2/3 = 4/6 1/6 = 1/6
Now we can subtract the fractions:
4/6 – 1/6 = 3/6
However, 3/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3:
3/6 = 1/2
Therefore, 2/3 – 1/6 = 1/2.
Question 3: What is 2/5 x 3/8?
Answer: To multiply fractions, we multiply the numerators together and the denominators together:
2/5 x 3/8 = (2 x 3) / (5 x 8) = 6/40
However, 6/40 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:
6/40 = 3/20
Therefore, 2/5 x 3/8 = 3/20.
Question 4: What is 5/6 as a decimal?
Answer: To convert a fraction to a decimal, we divide the numerator by the denominator:
5/6 = 0.8333…
However, 0.8333… can be rounded to a specific number of decimal places. If we round to two decimal places, we get:
5/6 ≈ 0.83
Therefore, 5/6 as a decimal is approximately 0.83.
Question 5: What is 3/8 in percentage form?
Answer: To convert a fraction to a percentage, we multiply the fraction by 100:
3/8 x 100 = 37.5
Therefore, 3/8 as a percentage is 37.5%.
Question 6: Which is greater: 5/7 or 4/5?
Answer: To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 7 x 5 = 35. We then rewrite each fraction with the common denominator:
5/7 = 25/35 4/5 = 28/35
Now we can compare the fractions:
25/35 < 28/35
Therefore, 4/5 is greater than 5/7.
Question 7: What is 2 1/3 as an improper fraction?
Answer: To convert a mixed number to an improper fraction, we first multiply the whole number by the denominator of the fraction, and then add the numerator. The result is the new numerator, and the denominator stays the same:
2 1/3 = (2 x 3 + 1) / 3 = 7/3
Therefore, 2 1/3 as an improper fraction is 7/3.
Question 8: Simplify the fraction 12/24 to its lowest terms.
Answer: To simplify a fraction, we divide the numerator and denominator by their greatest common factor. In this case, the greatest common factor of 12 and 24 is 12. So, we divide both the numerator and denominator by 12:
12/24 ÷ 12/12 = 1/2
Therefore, 12/24 simplified to its lowest terms is 1/2.
Question 9: Convert the decimal 0.625 to a fraction.
Answer: To convert a decimal to a fraction, we place the decimal as the numerator over a denominator of 1 followed by the same number of zeros as the number of decimal places:
0.625 = 625/1000
However, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 125:
625/1000 ÷ 125/125 = 5/8
Therefore, 0.625 as a fraction is 5/8.
Question 10: What is 3/4 of 36?
Answer: To find a fraction of a number, we multiply the number by the fraction. So, to find 3/4 of 36, we multiply:
3/4 x 36 = 27
Therefore, 3/4 of 36 is 27.
