Solve 12645 1/144 b-2

Question

Simplify the expression

\frac{1820881}{144} b - 2

Evaluate

12645 \frac{1}{144} \times b - 2

Solution

More Steps

Evaluate

12645 \frac{1}{144}

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

\frac{12645 \times 144 + 1}{144}

Multiply the terms

\frac{1820880 + 1}{144}

Add the terms

\frac{1820881}{144}

\frac{1820881}{144} b - 2

Show Solution

\frac{1}{144} (1820881 b - 288)

Evaluate

12645 \frac{1}{144} \times b - 2

Covert the mixed number to an improper fraction

More Steps

Evaluate

12645 \frac{1}{144}

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

\frac{12645 \times 144 + 1}{144}

Multiply the terms

\frac{1820880 + 1}{144}

Add the terms

\frac{1820881}{144}

\frac{1820881}{144} b - 2

Solution

\frac{1}{144} (1820881 b - 288)

Show Solution

b = \frac{288}{1820881}

Alternative Form

b \approx 0.000158

Evaluate

12645 \frac{1}{144} \times b - 2

To find the roots of the expression,set the expression equal to 0

12645 \frac{1}{144} \times b - 2 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

12645 \frac{1}{144}

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

\frac{12645 \times 144 + 1}{144}

Multiply the terms

\frac{1820880 + 1}{144}

Add the terms

\frac{1820881}{144}

\frac{1820881}{144} b - 2 = 0

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

\frac{1820881}{144} b = 0 + 2

Removing 0 doesn't change the value,so remove it from the expression

\frac{1820881}{144} b = 2

Multiply by the reciprocal

\frac{1820881}{144} b \times \frac{144}{1820881} = 2 \times \frac{144}{1820881}

Multiply

b = 2 \times \frac{144}{1820881}

Solution

More Steps

Evaluate

2 \times \frac{144}{1820881}

Multiply the numbers

\frac{2 \times 144}{1820881}

Multiply the numbers

\frac{288}{1820881}

b = \frac{288}{1820881}

Alternative Form

b \approx 0.000158

Show Solution