Topic Details (Notes format)

How to Convert Decimals to Fractions and Percentages

Subject: Mathematics

Book: Maths Mastery

Decimals often arise in measurements, currency transactions, or statistical data, making it valuable to convert them into fractions and percentages. To turn a decimal into a fraction, recognize the place value: for 0.25, the denominator is 100 (since 25 is in the hundredths place), so 0.25 = 25/100, which simplifies to 1/4. Then, to convert it to a percentage, multiply by 100: 0.25 × 100% = 25%. A concise formula for decimal-to-percentage is simply Decimal × 100%. For decimal-to-fraction, you may need to simplify by dividing numerator and denominator by their greatest common divisor (GCD). Mastering these transformations helps interpret financial figures, scientific measurements, and standardized test results effectively.

Practice Questions

The probability of getting an even number when rolling a die is:

View Question

A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

View Question

If the radius of a circle is doubled, what happens to its area?

View Question

What is the sum of the first 10 positive even numbers?

View Question

If the sum of three consecutive integers is 72, what are the integers?

View Question

If x:y = 2:3 and z:y = 4:3, what is x:z?

View Question

What is the HCF of 72 and 120?

View Question

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

View Question

What is the slope of a line passing through the points (2, 3) and (4, 7)?

View Question

What is the value of x if 3x + 7 = 16?

View Question