Solve t - 2 2/11 5 5/11 =3 7/11 - Socratic AI (ScanMath)

Question

Solve the equation

t = \frac{1880}{121}

Alternative Form

t \approx 15.53719

Evaluate

t - 2 \frac{2}{11} \times 5 \frac{5}{11} = 3 \frac{7}{11}

Simplify

More Steps

Evaluate

t - 2 \frac{2}{11} \times 5 \frac{5}{11}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{2}{11}

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

\frac{2 \times 11 + 2}{11}

Multiply the terms

\frac{22 + 2}{11}

Add the terms

\frac{24}{11}

t - \frac{24}{11} \times 5 \frac{5}{11}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{5}{11}

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

\frac{5 \times 11 + 5}{11}

Multiply the terms

\frac{55 + 5}{11}

Add the terms

\frac{60}{11}

t - \frac{24}{11} \times \frac{60}{11}

Multiply the numbers

More Steps

Evaluate

\frac{24}{11} \times \frac{60}{11}

To multiply the fractions,multiply the numerators and denominators separately

\frac{24 \times 60}{11 \times 11}

Multiply the numbers

\frac{1440}{11 \times 11}

Multiply the numbers

\frac{1440}{121}

t - \frac{1440}{121}

t - \frac{1440}{121} = 3 \frac{7}{11}

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{7}{11}

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

\frac{3 \times 11 + 7}{11}

Multiply the terms

\frac{33 + 7}{11}

Add the terms

\frac{40}{11}

t - \frac{1440}{121} = \frac{40}{11}

Move the constant to the right-hand side and change its sign

t = \frac{40}{11} + \frac{1440}{121}

Solution

More Steps

Evaluate

\frac{40}{11} + \frac{1440}{121}

Reduce fractions to a common denominator

\frac{40 \times 11}{11 \times 11} + \frac{1440}{121}

Multiply the numbers

\frac{40 \times 11}{121} + \frac{1440}{121}

Write all numerators above the common denominator

\frac{40 \times 11 + 1440}{121}

Multiply the numbers

\frac{440 + 1440}{121}

Add the numbers

\frac{1880}{121}

t = \frac{1880}{121}

Alternative Form

t \approx 15.53719

Show Solution