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4r=57\dfrac{4}{r} = \dfrac{5}{7}

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Full solution

Q. 4r=57\dfrac{4}{r} = \dfrac{5}{7}
  1. Cross-Multiply Fractions: To solve for r, we can cross-multiply the two fractions.\newline4r=57\dfrac{4}{r} = \dfrac{5}{7} becomes 4⋅7=5⋅r4 \cdot 7 = 5 \cdot r.
  2. Perform Multiplication: Now, perform the multiplication on both sides of the equation.\newline4⋅7=284 \cdot 7 = 28 and 5⋅r=5r5 \cdot r = 5r.\newlineSo, 28=5r28 = 5r.
  3. Isolate Variable: To isolate r, divide both sides of the equation by 55.\newliner=285r = \dfrac{28}{5}.
  4. Simplify Fraction: Simplify the fraction if possible.\newline285\dfrac{28}{5} cannot be simplified further, so this is the final value of r.

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