Solve 3 1/2 2 1/4 x = 1 1/4

Question

Solve the equation

x = \frac{10}{63}

Alternative Form

x = 0. \dot{1} 5873 \dot{0}

Evaluate

3 \frac{1}{2} \times 2 \frac{1}{4} \times x = 1 \frac{1}{4}

Simplify

More Steps

Evaluate

3 \frac{1}{2} \times 2 \frac{1}{4} \times x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{7}{2} \times 2 \frac{1}{4} \times x

Covert the mixed number to an improper fraction

More Steps

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}

\frac{7}{2} \times \frac{9}{4} x

Multiply the terms

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Evaluate

\frac{7}{2} \times \frac{9}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{7 \times 9}{2 \times 4}

Multiply the numbers

\frac{63}{2 \times 4}

Multiply the numbers

\frac{63}{8}

\frac{63}{8} x

\frac{63}{8} x = 1 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Evaluate

1 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{4 + 1}{4}

Add the terms

\frac{5}{4}

\frac{63}{8} x = \frac{5}{4}

Multiply by the reciprocal

\frac{63}{8} x \times \frac{8}{63} = \frac{5}{4} \times \frac{8}{63}

Multiply

x = \frac{5}{4} \times \frac{8}{63}

Solution

More Steps

Evaluate

\frac{5}{4} \times \frac{8}{63}

Reduce the numbers

5 \times \frac{2}{63}

Multiply the numbers

\frac{5 \times 2}{63}

Multiply the numbers

\frac{10}{63}

x = \frac{10}{63}

Alternative Form

x = 0. \dot{1} 5873 \dot{0}

Show Solution

Rewrite the equation

63 x = 10

Evaluate

3 \frac{1}{2} \times 2 \frac{1}{4} \times x = 1 \frac{1}{4}

Evaluate

More Steps

Evaluate

3 \frac{1}{2} \times 2 \frac{1}{4} \times x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

3 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 \times 2 + 1}{2}

Multiply the terms

\frac{6 + 1}{2}

Add the terms

\frac{7}{2}

\frac{7}{2} \times 2 \frac{1}{4} \times x

Covert the mixed number to an improper fraction

More Steps

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}

\frac{7}{2} \times \frac{9}{4} x

Multiply the terms

More Steps

Evaluate

\frac{7}{2} \times \frac{9}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{7 \times 9}{2 \times 4}

Multiply the numbers

\frac{63}{2 \times 4}

Multiply the numbers

\frac{63}{8}

\frac{63}{8} x

\frac{63}{8} x = 1 \frac{1}{4}

Evaluate

More Steps

Evaluate

1 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{4 + 1}{4}

Add the terms

\frac{5}{4}

\frac{63}{8} x = \frac{5}{4}

Solution

63 x = 10

Show Solution

Solve the equation

Rewrite the equation

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