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Glossary

Fraction

Number

A fraction \(\frac{a}{b}\) is the quotient of two integers, where the denominator \(b \neq 0\). The denominator tells you how many equal parts the whole is split into, and the numerator how many of those parts you take.

  • Same value, many forms. Expanding and cancelling do not change the value: \(\frac{2}{3} = \frac{4}{6} = \frac{10}{15}\).
  • Division. \(\frac{a}{b} = a \jako b\), so every fraction can be written as a decimal: \(\frac{3}{4} = 0{,}75\).
  • Mixed number. When the numerator is greater than the denominator, the number can be written as the sum of a whole-number part and a fraction part: \(\frac{11}{4} = 2\frac{3}{4}\).

Examples

  1. E1

    Which is greater, \(\frac{5}{7}\) or \(\frac{7}{10}\)?

    Show solutionHide solution

    Expand both to the common denominator 70: \(\frac{5}{7} = \frac{50}{70}\) and \(\frac{7}{10} = \frac{49}{70}\). So \(\frac{5}{7}\) is slightly greater.

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