1
Question
State whether true or false.
\(\dfrac{7}{9} = 1 \dfrac{1}{7}\)
\(\dfrac{7}{9} = 1 \dfrac{1}{7}\)
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Solution
Given: \(\dfrac{7}{9} = 1 \dfrac{1}{7}\)
Taking \( R.H.S = 1 \dfrac{1}{7}\)
and converting it to improper fraction to simplify.
\(1 \dfrac{1}{7} = \dfrac{1 \times 7 + 1}{7}\)
\(\left [Using, Improper fraction = \dfrac{Integral \space part \times Denominator + Numerator}{Denominator}\right]\)
\(= \dfrac{8}{7}\)
Since, \(\dfrac{7}{9} ≠ \dfrac{8}{7}\)
\(\Rightarrow L.H.S ≠ R.H.S\)
Hence, required answer is FALSE.
Given: \(\dfrac{7}{9} = 1 \dfrac{1}{7}\)
Taking \( R.H.S = 1 \dfrac{1}{7}\)
and converting it to improper fraction to simplify.
\(1 \dfrac{1}{7} = \dfrac{1 \times 7 + 1}{7}\)
\(\left [Using, Improper fraction = \dfrac{Integral \space part \times Denominator + Numerator}{Denominator}\right]\)
\(= \dfrac{8}{7}\)
Since, \(\dfrac{7}{9} ≠ \dfrac{8}{7}\)
\(\Rightarrow L.H.S ≠ R.H.S\)
Hence, required answer is FALSE.
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