How to reduce fractions in maths? Grade 7 maths questions are presented along with detailed solutions. Detailed Solutions and explanations are included.
What is a reduced fraction in maths?
How to reduce a fraction? One way to reduce a fraction is to write the prime factorization of the numerator and denominator then simplify. Example 1: Reduce the fraction \( \dfrac{9}{15} \) step 1  The prime factorization of 9 is: 9 = 3 × 3 step 2  The prime factorization of 15 is: 15 = 3 × 5 step 3  Rewrite the given fraction with numerator and denominator in factored form \( \dfrac{9}{15} = \dfrac{3\times 3}{3 \times 5} \) step 4  Simplify \( \dfrac{9}{15} = \dfrac{\cancel{3}\times 3}{\cancel{3}\times 5} \) = \( \dfrac{3}{5} \) Example 2: Reduce the fraction \( \dfrac{12}{72} \) step 1  The prime factorization of 12 is: 12 = 2 × 2 × 3 step 2  The prime factorization of 72 is: 72 = 2 × 2 × 2× 3 × 3 step 3  Rewrite the given fraction with numerator and denominator in factored form \( \dfrac{12}{72} = \dfrac{2\times 2 \times 3}{2 \times 2 \times 2 \times 3 \times 3} \) step 4  Simplify \( \dfrac{12}{72} = \dfrac{\cancel{2\times 2} \times \cancel{3}}{\cancel{2 \times 2} \times 2 \times \cancel{3} \times 3} \) = \( \dfrac{1}{6} \) Example 3: Reduce the fraction \( \dfrac{504}{600} \) step 1  The prime factorization of 504 is: 504 = 2 × 2 × 2 × 3 × 3 × 7 step 2  The prime factorization of 600 is: 600 = 2 × 2 × 2× 3 × 5 × 5 step 3  Rewrite the given fraction with numerator and denominator in factored form \( \dfrac{504}{600} = \dfrac{2\times 2 \times 2 \times 3 \times 3 \times 7}{2 \times 2 \times 2 \times 3 \times 5 \times 5} \) step 4  Simplify \( \dfrac{504}{600} = \dfrac{\cancel{2\times 2 \times 2} \times \cancel{3} \times 3 \times 7}{\cancel{2 \times 2 \times 2} \times \cancel{3} \times 5 \times 5} \) = \( \dfrac{21}{25} \) A Reduce Fractions Calculator may be used to check your answers.

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