Solve 2 : 7 : 10 = 1 : q : 5

Evaluate

2 \div 7 \div 10 = 1 \div q \div 5

Find the domain

2 \div 7 \div 10 = 1 \div q \div 5, q \neq = 0

Simplify

More Steps

\frac{1}{35} = 1 \div q \div 5

Simplify

More Steps

\frac{1}{35} = \frac{1}{5 q}

Swap the sides of the equation

\frac{1}{5 q} = \frac{1}{35}

Rewrite the expression

5 q = 35

Divide both sides

\frac{5 q}{5} = \frac{35}{5}

Divide the numbers

q = \frac{35}{5}

Divide the numbers

More Steps

q = 7

Check if the solution is in the defined range

q = 7, q \neq = 0

Solution

q = 7

Solve the equation