Solve r-9 1/3=7 1/3

Question

Solve the equation

r = \frac{50}{3}

Alternative Form

r = 16. \dot{6}

Evaluate

r - 9 \frac{1}{3} = 7 \frac{1}{3}

Covert the mixed number to an improper fraction

More Steps

Evaluate

9 \frac{1}{3}

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

\frac{9 \times 3 + 1}{3}

Multiply the terms

\frac{27 + 1}{3}

Add the terms

\frac{28}{3}

r - \frac{28}{3} = 7 \frac{1}{3}

Covert the mixed number to an improper fraction

More Steps

Evaluate

7 \frac{1}{3}

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

\frac{7 \times 3 + 1}{3}

Multiply the terms

\frac{21 + 1}{3}

Add the terms

\frac{22}{3}

r - \frac{28}{3} = \frac{22}{3}

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

r = \frac{22}{3} + \frac{28}{3}

Solution

More Steps

Evaluate

\frac{22}{3} + \frac{28}{3}

Write all numerators above the common denominator

\frac{22 + 28}{3}

Add the numbers

\frac{50}{3}

r = \frac{50}{3}

Alternative Form

r = 16. \dot{6}

Show Solution

Rewrite the equation

9 x^{2} + 9 y^{2} = 2500

Evaluate

r - 9 \frac{1}{3} = 7 \frac{1}{3}

Covert the mixed number to an improper fraction

More Steps

Evaluate

r - 9 \frac{1}{3}

Covert the mixed number to an improper fraction

More Steps

Evaluate

9 \frac{1}{3}

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

\frac{9 \times 3 + 1}{3}

Multiply the terms

\frac{27 + 1}{3}

Add the terms

\frac{28}{3}

r - \frac{28}{3}

r - \frac{28}{3} = 7 \frac{1}{3}

Evaluate

More Steps

Evaluate

7 \frac{1}{3}

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

\frac{7 \times 3 + 1}{3}

Multiply the terms

\frac{21 + 1}{3}

Add the terms

\frac{22}{3}

r - \frac{28}{3} = \frac{22}{3}

Multiply both sides of the equation by LCD

(r - \frac{28}{3}) \times 3 = \frac{22}{3} \times 3

Simplify the equation

More Steps

Evaluate

(r - \frac{28}{3}) \times 3

Apply the distributive property

r \times 3 - \frac{28}{3} \times 3

Simplify

r \times 3 - 28

Use the commutative property to reorder the terms

3 r - 28

3 r - 28 = \frac{22}{3} \times 3

Simplify the equation

3 r - 28 = 22

Rewrite the expression

3 r = 28 + 22

Simplify the expression

3 r = 50

Square both sides of the equation

(3 r)^{2} = 5 0^{2}

Evaluate

9 r^{2} = 5 0^{2}

To covert the equation to rectangular coordinates using conversion formulas,substitute x^{2} + y^{2} for r^{2}

9 (x^{2} + y^{2}) = 5 0^{2}

Evaluate the power

9 (x^{2} + y^{2}) = 2500

Solution

9 x^{2} + 9 y^{2} = 2500

Show Solution

Solve the equation

Rewrite the equation

Graph