iGCSE Mathematics (0580) - C1.4 Fractions, decimals and percentages- Exam Style Questions Paper 1- New Syllabus
▶️ Answer/Explanation
(a)
Divide 3 by 4: \(3 \div 4 = 0.75\).
✅ Answer: \(0.75\)
(b)
To convert a fraction with denominator 100 to a percentage, the numerator directly gives the percentage: \(\dfrac{9}{100} = 9\%\).
✅ Answer: \(9\%\)
(c)
To convert a percentage to a decimal, divide by 100: \(143 \div 100 = 1.43\). Note that values above 100% give decimals greater than 1.
✅ Answer: \(1.43\)
▶️ Answer/Explanation
Convert both mixed numbers to improper fractions: \(2\dfrac{5}{6} = \dfrac{17}{6}\) and \(4\dfrac{1}{4} = \dfrac{17}{4}\).
To divide by a fraction, multiply by its reciprocal: \(\dfrac{17}{6} \div \dfrac{17}{4} = \dfrac{17}{6} \times \dfrac{4}{17}\).
The 17s cancel: \(= \dfrac{4}{6} = \dfrac{2}{3}\).
✅ Answer: \(\dfrac{2}{3}\)
▶️ Answer/Explanation
First, convert the mixed number into an improper fraction: \(1\frac{2}{3} = \frac{5}{3}\).
Multiply the two fractions: \(\frac{3}{4} \times \frac{5}{3} = \frac{15}{12}\).
Simplify the fraction by dividing the numerator and denominator by \(3\): \(\frac{5}{4}\).
Convert back into a mixed number: \(\frac{5}{4} = 1\frac{1}{4}\).
✅ Answer: \(1\frac{1}{4}\)
