Solve t - 1 4/9 4 5/9 =3 2/9

Question

Solve the equation

t = \frac{794}{81}

Alternative Form

t \approx 9.802469

Evaluate

t - 1 \frac{4}{9} \times 4 \frac{5}{9} = 3 \frac{2}{9}

Simplify

More Steps

Evaluate

t - 1 \frac{4}{9} \times 4 \frac{5}{9}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{4}{9}

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

\frac{9 + 4}{9}

Add the terms

\frac{13}{9}

t - \frac{13}{9} \times 4 \frac{5}{9}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4 \frac{5}{9}

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

\frac{4 \times 9 + 5}{9}

Multiply the terms

\frac{36 + 5}{9}

Add the terms

\frac{41}{9}

t - \frac{13}{9} \times \frac{41}{9}

Multiply the numbers

More Steps

Evaluate

\frac{13}{9} \times \frac{41}{9}

To multiply the fractions,multiply the numerators and denominators separately

\frac{13 \times 41}{9 \times 9}

Multiply the numbers

\frac{533}{9 \times 9}

Multiply the numbers

\frac{533}{81}

t - \frac{533}{81}

t - \frac{533}{81} = 3 \frac{2}{9}

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{2}{9}

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

\frac{3 \times 9 + 2}{9}

Multiply the terms

\frac{27 + 2}{9}

Add the terms

\frac{29}{9}

t - \frac{533}{81} = \frac{29}{9}

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

t = \frac{29}{9} + \frac{533}{81}

Solution

More Steps

Evaluate

\frac{29}{9} + \frac{533}{81}

Reduce fractions to a common denominator

\frac{29 \times 9}{9 \times 9} + \frac{533}{81}

Multiply the numbers

\frac{29 \times 9}{81} + \frac{533}{81}

Write all numerators above the common denominator

\frac{29 \times 9 + 533}{81}

Multiply the numbers

\frac{261 + 533}{81}

Add the numbers

\frac{794}{81}

t = \frac{794}{81}

Alternative Form

t \approx 9.802469

Show Solution