LT

Test: Fractions and mixed numbers

Dynamic tasks on improper fractions, mixed numbers, comparison and simple operations.

Question qty: 10
Duration in minutes: 16
Start »

Time left: 00:00:00

Finish the test
List of tests
Start over

Sample questions

  • Compare the fractions: a b
  • Write the fraction a as a decimal.
  • Round the mixed number a to the nearest whole number.
  • Calculate: a + b
  • Calculate: a − b
  • Write the mixed number a as an improper fraction.
  • Compare the mixed numbers: a b
  • Write the improper fraction a as a mixed number.

Fractions and mixed numbers

The denominator shows how many equal parts form a whole, while the numerator shows how many of those parts are selected. A fraction is proper when its numerator is smaller than its denominator. It is improper when the numerator is equal to or greater than the denominator.

Mixed numbers

A mixed number contains a whole-number part and a fractional part. For example, 7/3 = 2 1/3 because seven thirds contain two complete wholes and one third. To convert a mixed number to an improper fraction, multiply the whole part by the denominator, add the numerator and keep the same denominator.

For equal denominators, the fraction with the greater numerator is greater. For equal numerators, the fraction with the smaller denominator is greater because the whole is divided into fewer, larger parts.

Related mathematics tests

Decimal numbers

Dynamic tasks on tenths and hundredths, comparing, adding and subtracting decimals, place value and sequences.

Solve: Decimal numbers

Percentages

Percentage tasks are mathematical problems where one needs to find a part or a percentage of the whole based on certain conditions or given values.

Solve: Percentages

Area of a right triangle

This test develops calculation of the area of a right triangle using the product of its perpendicular sides. Pupils identify the base and height, apply the formula, find missing dimensions and express answers in square units.

Solve: Area of a right triangle

Arithmetic mean (Average)

This test develops calculation of the arithmetic mean by adding all values and dividing by the number of values. Tasks also involve finding a missing data value and interpreting an average in a practical context.

Solve: Arithmetic mean (Average)