What is (6 2/3-10/2)/(4 1/6-3) ?

The solution to (6 2/3-10/2)/(4 1/6-3) is 1 3/7

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simplify (6 2/3-10/2)/(4 1/6-3)

simplify

\frac{6 \frac{2}{3} - \frac{10}{2}}{4 \frac{1}{6} - 3}

1 \frac{3}{7}

Decimal Notation

1.42857 \dots

Solution steps

\frac{6 \frac{2}{3} - \frac{10}{2}}{4 \frac{1}{6} - 3}

Convert mixed numbers to improper fractions:

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

= \frac{\frac{20}{3} - \frac{10}{2}}{4 \frac{1}{6} - 3}

Convert mixed numbers to improper fractions:

4 \frac{1}{6} = \frac{25}{6}

= \frac{\frac{20}{3} - \frac{10}{2}}{\frac{25}{6} - 3}

\frac{20}{3} - \frac{10}{2} = \frac{5}{3}

= \frac{\frac{5}{3}}{\frac{25}{6} - 3}

\frac{25}{6} - 3 = \frac{7}{6}

= \frac{\frac{5}{3}}{\frac{7}{6}}

Apply the fraction rule:

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

= \frac{5 \cdot 6}{3 \cdot 7}

Cancel

\frac{5 \cdot 6}{3 \cdot 7} : \frac{10}{7}

= \frac{10}{7}

Convert improper fractions to mixed numbers:

\frac{10}{7} = 1 \frac{3}{7}

= 1 \frac{3}{7}

lo g_{10} (600)

\frac{10 !}{( 10 - 6 ) !}

y - (- 2)

1 (x - 1)

What is (6 2/3-10/2)/(4 1/6-3) ?
The solution to (6 2/3-10/2)/(4 1/6-3) is 1 3/7