What is the answer to (4.8)/(1 7/9)=((1.2b))/(6 2/3) ?

The answer to (4.8)/(1 7/9)=((1.2b))/(6 2/3) is b=15

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(4.8)/(1 7/9)=((1.2b))/(6 2/3)

\frac{4.8}{1 \frac{7}{9}} = \frac{( 1.2 b )}{6 \frac{2}{3}}

b = 15

Solution steps

\frac{4.8}{1 \frac{7}{9}} = \frac{( 1.2 b )}{6 \frac{2}{3}}

Convert mixed numbers to improper fractions:

1 \frac{7}{9} = \frac{16}{9}

\frac{4.8}{\frac{16}{9}} = \frac{( 1.2 b )}{6 \frac{2}{3}}

Convert mixed numbers to improper fractions:

6 \frac{2}{3} = \frac{20}{3}

\frac{4.8}{\frac{16}{9}} = \frac{( 1.2 b )}{\frac{20}{3}}

Switch sides

\frac{( 1.2 b )}{\frac{20}{3}} = \frac{4.8}{\frac{16}{9}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

\frac{( 1.2 b )}{\frac{20}{3}} = \frac{4.8 \cdot 9}{16}

Multiply the numbers:

4.8 \cdot 9 = 43.2

\frac{( 1.2 b )}{\frac{20}{3}} = \frac{43.2}{16}

Multiply both sides by

\frac{20}{3}

1.2 b = 18

Divide both sides by

1.2

b = 15

- x + 3 = 2 x - 18

lo g_{2} (256) = x

- 6 + 2 x = - 10

x, 10 x - 3 y = 36

x, 5 x + y = 1

What is the answer to (4.8)/(1 7/9)=((1.2b))/(6 2/3) ?
The answer to (4.8)/(1 7/9)=((1.2b))/(6 2/3) is b=15
Solve for b: (4.8)/(1 7/9)=((1.2b))/(6 2/3)
The solution is b=15