Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

match the fractions given in the first column with their equivalent fra…

Question

match the fractions given in the first column with their equivalent fractions.
\\(\frac{2}{7}\\)
\\(\frac{77}{63}\\)
\\(\frac{28}{36}\\)
\\(\frac{15}{30}\\)
drag & drop the ans
\\(\frac{1}{2}\\)
\\(\frac{14}{49}\\)
\\(\frac{11}{9}\\)
\\(\frac{7}{9}\\)

Explanation:

Step1: Simplify $\frac{2}{7}$

To find its equivalent, check the options. Simplify $\frac{14}{49}$: divide numerator and denominator by 7, $\frac{14\div7}{49\div7}=\frac{2}{7}$. So $\frac{2}{7}$ matches $\frac{14}{49}$.

Step2: Simplify $\frac{77}{63}$

Divide numerator and denominator by 7: $\frac{77\div7}{63\div7}=\frac{11}{9}$. So $\frac{77}{63}$ matches $\frac{11}{9}$.

Step3: Simplify $\frac{28}{36}$

Divide numerator and denominator by 4: $\frac{28\div4}{36\div4}=\frac{7}{9}$. So $\frac{28}{36}$ matches $\frac{7}{9}$.

Step4: Simplify $\frac{15}{30}$

Divide numerator and denominator by 15: $\frac{15\div15}{30\div15}=\frac{1}{2}$. So $\frac{15}{30}$ matches $\frac{1}{2}$.

Answer:

  • $\boldsymbol{\frac{2}{7}}$ matches $\boldsymbol{\frac{14}{49}}$
  • $\boldsymbol{\frac{77}{63}}$ matches $\boldsymbol{\frac{11}{9}}$
  • $\boldsymbol{\frac{28}{36}}$ matches $\boldsymbol{\frac{7}{9}}$
  • $\boldsymbol{\frac{15}{30}}$ matches $\boldsymbol{\frac{1}{2}}$