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Question

3x-2\frac{1}{4}
Simplify the expression
3x-\frac{9}{4}
Evaluate
3x-2\frac{1}{4}
Solution
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Evaluate
2\frac{1}{4}
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
\frac{2\times 4+1}{4}
Multiply the terms
\frac{8+1}{4}
Add the terms
\frac{9}{4}
3x-\frac{9}{4}
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Factor the expression
\frac{3}{4}\left(4x-3\right)
Evaluate
3x-2\frac{1}{4}
Covert the mixed number to an improper fraction
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Evaluate
2\frac{1}{4}
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
\frac{2\times 4+1}{4}
Multiply the terms
\frac{8+1}{4}
Add the terms
\frac{9}{4}
3x-\frac{9}{4}
Solution
\frac{3}{4}\left(4x-3\right)
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Find the roots
x=\frac{3}{4}
Alternative Form
x=0.75
Evaluate
3x-2\frac{1}{4}
To find the roots of the expression,set the expression equal to 0
3x-2\frac{1}{4}=0
Covert the mixed number to an improper fraction
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Convert the expressions
2\frac{1}{4}
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
\frac{2\times 4+1}{4}
Multiply the terms
\frac{8+1}{4}
Add the terms
\frac{9}{4}
3x-\frac{9}{4}=0
Move the constant to the right-hand side and change its sign
3x=0+\frac{9}{4}
Add the terms
3x=\frac{9}{4}
Multiply by the reciprocal
3x\times \frac{1}{3}=\frac{9}{4}\times \frac{1}{3}
Multiply
x=\frac{9}{4}\times \frac{1}{3}
Solution
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Evaluate
\frac{9}{4}\times \frac{1}{3}
Reduce the numbers
\frac{3}{4}\times 1
Multiply the numbers
\frac{3}{4}
x=\frac{3}{4}
Alternative Form
x=0.75
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