MIP1501 EXAM ANSWERS 2024
MIP1501 EXAM PREPARATION PACK - DISTINCTION GUARANTEED. Contains recent exam questions and answers, and Summarised study notes. All you need to pass the OCTOBER NOVEMBER 2024 EXAMS
1.1. Explanation of Improper, Mixed, and Proper Fractions (6
Marks)
Proper Fraction: A fraction where the numerator (top number) is smaller than
the denominator (bottom number). For example, }. This shows that we have
less than a whole.
Improper Fraction: A fraction where the numerator is larger than or equal to
the denominator. For example, • This means we have more than one whole.
Mixed Fraction: A fraction that includes a whole number and a proper
fraction. For example, 24, which means 2 whole parts and 4 of another part.
1.2. Solving and Explaining Fraction Calculations (18 Marks)
121.4:
Step 1: Change division to multiplication by flipping the second fraction:
4 6
9 X 12
tiply the numerators and the den
46 24
9 X 12 108
Step 3: Simplify the fraction by dividing both the numerator and denominator
by their greatest common factor (GCF), which is 12:
24:12 2
108 + 12 9
• Final Answer. t
1.22.x%
• Step 1 Multiply all the numerators and all the denominators:
12 X 9x5 540
6x5x4 120
• Step 2 Simplify the fraction by dividing by the GCF, which is 60
540 : 60 9
120: 60 2
Answer. { or 4}
, 123.j+{
Step 1: Convert into a whole number:
8
- -2
4
• Step 2: Make the denominators the same (LCD of 17 and 1is 17)
5 34 5+34 39
mm
• Step 3: Convert the improper fraction {l to a mixed fraction:
39:17 -2R5 =
• Final Answer.2
1.3. Fractions, Decimals, and Percentages Relationship (6
Marks)
Fractions to Decimals: To convert a fraction to a decimal, divide the
numerator by the denominator. For example, 5 is:
V
2:30.666... (repeating)
Fractions, decimals, and percentages are all ways to represent parts of a whole.
• Fractions to Decimals: To convert a fraction to a decimal, divide the
numerator by the denominator. For example, f is:
2 + 3 - 0.666.. (repeating)
ractions to Percentages: To convert a fraction to a percentage, multiply the
fraction by 100. For #:
2
x100 -- 66.66%
Two examples:
=0.5(decimal) = 50% (percentage)
}=025(decimal) = 25% (percentage)
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