Solve 3 1/3 x=4 1/5

Question

Solve the equation

x = \frac{63}{50}

Alternative Form

x = 1.26

Evaluate

3 \frac{1}{3} \times x = 4 \frac{1}{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{1}{3}

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

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

Multiply the terms

\frac{9 + 1}{3}

Add the terms

\frac{10}{3}

\frac{10}{3} x = 4 \frac{1}{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

4 \frac{1}{5}

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

\frac{4 \times 5 + 1}{5}

Multiply the terms

\frac{20 + 1}{5}

Add the terms

\frac{21}{5}

\frac{10}{3} x = \frac{21}{5}

Multiply by the reciprocal

\frac{10}{3} x \times \frac{3}{10} = \frac{21}{5} \times \frac{3}{10}

Multiply

x = \frac{21}{5} \times \frac{3}{10}

Solution

More Steps

Evaluate

\frac{21}{5} \times \frac{3}{10}

To multiply the fractions,multiply the numerators and denominators separately

\frac{21 \times 3}{5 \times 10}

Multiply the numbers

\frac{63}{5 \times 10}

Multiply the numbers

\frac{63}{50}

x = \frac{63}{50}

Alternative Form

x = 1.26

Show Solution

50 x = 63

Evaluate

3 \frac{1}{3} \times x = 4 \frac{1}{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{1}{3}

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

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

Multiply the terms

\frac{9 + 1}{3}

Add the terms

\frac{10}{3}

\frac{10}{3} x

\frac{10}{3} x = 4 \frac{1}{5}

Evaluate

More Steps

Evaluate

4 \frac{1}{5}

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

\frac{4 \times 5 + 1}{5}

Multiply the terms

\frac{20 + 1}{5}

Add the terms

\frac{21}{5}

\frac{10}{3} x = \frac{21}{5}

Solution

50 x = 63

Show Solution