Evaluate
\frac{y}{3}-\frac{9}{8}
Expand
\frac{y}{3}-\frac{9}{8}
Graph
Quiz
Algebra
5 problems similar to:
3 \frac { 1 } { 3 } \cdot \frac { y } { 10 } - 1 \frac { 1 } { 8 } =
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\frac{9+1}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Multiply 3 and 3 to get 9.
\frac{10}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Add 9 and 1 to get 10.
\frac{10y}{3\times 10}-\frac{1\times 8+1}{8}
Multiply \frac{10}{3} times \frac{y}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{y}{3}-\frac{1\times 8+1}{8}
Cancel out 10 in both numerator and denominator.
\frac{y}{3}-\frac{8+1}{8}
Multiply 1 and 8 to get 8.
\frac{y}{3}-\frac{9}{8}
Add 8 and 1 to get 9.
\frac{8y}{24}-\frac{9\times 3}{24}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 8 is 24. Multiply \frac{y}{3} times \frac{8}{8}. Multiply \frac{9}{8} times \frac{3}{3}.
\frac{8y-9\times 3}{24}
Since \frac{8y}{24} and \frac{9\times 3}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{8y-27}{24}
Do the multiplications in 8y-9\times 3.
\frac{9+1}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Multiply 3 and 3 to get 9.
\frac{10}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Add 9 and 1 to get 10.
\frac{10y}{3\times 10}-\frac{1\times 8+1}{8}
Multiply \frac{10}{3} times \frac{y}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{y}{3}-\frac{1\times 8+1}{8}
Cancel out 10 in both numerator and denominator.
\frac{y}{3}-\frac{8+1}{8}
Multiply 1 and 8 to get 8.
\frac{y}{3}-\frac{9}{8}
Add 8 and 1 to get 9.
\frac{8y}{24}-\frac{9\times 3}{24}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 8 is 24. Multiply \frac{y}{3} times \frac{8}{8}. Multiply \frac{9}{8} times \frac{3}{3}.
\frac{8y-9\times 3}{24}
Since \frac{8y}{24} and \frac{9\times 3}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{8y-27}{24}
Do the multiplications in 8y-9\times 3.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}