Solve 6 7/8 b - 5 7/16

Question

Simplify the expression

\frac{55}{8} b - \frac{87}{16}

Evaluate

6 \frac{7}{8} \times b - 5 \frac{7}{16}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{7}{8}

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

\frac{6 \times 8 + 7}{8}

Multiply the terms

\frac{48 + 7}{8}

Add the terms

\frac{55}{8}

\frac{55}{8} b - 5 \frac{7}{16}

Solution

More Steps

Convert the expressions

5 \frac{7}{16}

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

\frac{5 \times 16 + 7}{16}

Multiply the terms

\frac{80 + 7}{16}

Add the terms

\frac{87}{16}

\frac{55}{8} b - \frac{87}{16}

Show Solution

Factor the expression

\frac{1}{16} (110 b - 87)

Evaluate

6 \frac{7}{8} \times b - 5 \frac{7}{16}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{7}{8}

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

\frac{6 \times 8 + 7}{8}

Multiply the terms

\frac{48 + 7}{8}

Add the terms

\frac{55}{8}

\frac{55}{8} b - 5 \frac{7}{16}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{7}{16}

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

\frac{5 \times 16 + 7}{16}

Multiply the terms

\frac{80 + 7}{16}

Add the terms

\frac{87}{16}

\frac{55}{8} b - \frac{87}{16}

Solution

\frac{1}{16} (110 b - 87)

Show Solution

Find the roots

b = \frac{87}{110}

Alternative Form

b = 0.7 \dot{9} \dot{0}

Evaluate

6 \frac{7}{8} \times b - 5 \frac{7}{16}

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

6 \frac{7}{8} \times b - 5 \frac{7}{16} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{7}{8}

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

\frac{6 \times 8 + 7}{8}

Multiply the terms

\frac{48 + 7}{8}

Add the terms

\frac{55}{8}

\frac{55}{8} b - 5 \frac{7}{16} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{7}{16}

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

\frac{5 \times 16 + 7}{16}

Multiply the terms

\frac{80 + 7}{16}

Add the terms

\frac{87}{16}

\frac{55}{8} b - \frac{87}{16} = 0

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

\frac{55}{8} b = 0 + \frac{87}{16}

Add the terms

\frac{55}{8} b = \frac{87}{16}

Multiply by the reciprocal

\frac{55}{8} b \times \frac{8}{55} = \frac{87}{16} \times \frac{8}{55}

Multiply

b = \frac{87}{16} \times \frac{8}{55}

Solution

More Steps

Evaluate

\frac{87}{16} \times \frac{8}{55}

Reduce the numbers

\frac{87}{2} \times \frac{1}{55}

To multiply the fractions,multiply the numerators and denominators separately

\frac{87}{2 \times 55}

Multiply the numbers

\frac{87}{110}

b = \frac{87}{110}

Alternative Form

b = 0.7 \dot{9} \dot{0}

Show Solution