# How do you solve for x in #48/125=(3x)/25#?

One way is to express the fraction on the right side with the equivalent denominator to the fraction on the left side.

Since the fractions are equal and have the same denominator, then their numerators must be equal.

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To solve for ( x ), first multiply both sides of the equation by ( 25 ). This will eliminate the fraction on the right side of the equation.

[ 48 \div 125 = \frac{3x}{25} ]

[ 25 \times \frac{48}{125} = 3x ]

[ \frac{25 \times 48}{125} = 3x ]

[ \frac{1200}{125} = 3x ]

[ 9.6 = 3x ]

Then, divide both sides of the equation by ( 3 ) to isolate ( x ).

[ \frac{9.6}{3} = x ]

[ x = 3.2 ]

So, ( x = 3.2 ).

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