Microsoft Math Solver
Solve
Practice
Download
Solve
Practice
Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
Calculus
Derivatives
Integrals
Limits
Algebra Calculator
Trigonometry Calculator
Calculus Calculator
Matrix Calculator
Download
Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
Calculus
Derivatives
Integrals
Limits
Algebra Calculator
Trigonometry Calculator
Calculus Calculator
Matrix Calculator
Solve
algebra
trigonometry
statistics
calculus
matrices
variables
list
Evaluate
\frac{403}{120}\approx 3.358333333
View solution steps
Solution Steps
\frac{ 4 }{ 12 } + \frac{ 9 }{ 8 } \times \frac{15}{3} - \frac{26}{10}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.
\frac{1}{3}+\frac{9}{8}\times \left(\frac{15}{3}\right)-\frac{26}{10}
Divide 15 by 3 to get 5.
\frac{1}{3}+\frac{9}{8}\times 5-\frac{26}{10}
Express \frac{9}{8}\times 5 as a single fraction.
\frac{1}{3}+\frac{9\times 5}{8}-\frac{26}{10}
Multiply 9 and 5 to get 45.
\frac{1}{3}+\frac{45}{8}-\frac{26}{10}
Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{45}{8} to fractions with denominator 24.
\frac{8}{24}+\frac{135}{24}-\frac{26}{10}
Since \frac{8}{24} and \frac{135}{24} have the same denominator, add them by adding their numerators.
\frac{8+135}{24}-\frac{26}{10}
Add 8 and 135 to get 143.
\frac{143}{24}-\frac{26}{10}
Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.
\frac{143}{24}-\frac{13}{5}
Least common multiple of 24 and 5 is 120. Convert \frac{143}{24} and \frac{13}{5} to fractions with denominator 120.
\frac{715}{120}-\frac{312}{120}
Since \frac{715}{120} and \frac{312}{120} have the same denominator, subtract them by subtracting their numerators.
\frac{715-312}{120}
Subtract 312 from 715 to get 403.
\frac{403}{120}
Factor
\frac{13 \cdot 31}{2 ^ {3} \cdot 3 \cdot 5} = 3\frac{43}{120} \approx 3.358333333
Quiz
Arithmetic
5 problems similar to:
\frac{ 4 }{ 12 } + \frac{ 9 }{ 8 } \times \frac{15}{3} - \frac{26}{10}
Similar Problems from Web Search
How do you simplify \displaystyle{\frac{{{9}}}{{{10}}}}\times{\frac{{{1}}}{{{3}}}}-{\frac{{{2}}}{{{5}}}}\times{\frac{{{1}}}{{{11}}}} ?
https://socratic.org/questions/how-do-you-simplify-frac-9-10-times-frac-1-3-frac-2-5-times-frac-1-11
\displaystyle{\left(\frac{{29}}{{110}}\right)} Explanation: \displaystyle{\left({\left(\frac{{9}}{{10}}\right)}\cdot{\left(\frac{{1}}{{3}}\right)}\right)}-{\left({\left(\frac{{2}}{{5}}\right)}\cdot{\left(\frac{{1}}{{11}}\right)}\right)} ...
How do you use order of operations to simplify \displaystyle\frac{{9}}{{4}}\times\frac{{2}}{{3}}+\frac{{4}}{{5}}\times\frac{{5}}{{3}} ?
https://socratic.org/questions/how-do-you-use-order-of-operations-to-simplify-9-4-times-2-3-4-5-times-5-3
See a solution process below: Explanation: Using the PEDMAS order of operation, first execute the Multiplication operations: \displaystyle\frac{{{9}}}{{{4}}}\times\frac{{{2}}}{{{3}}}+\frac{{{4}}}{{{5}}}\times\frac{{{5}}}{{{3}}}\Rightarrow ...
How do you simplify \displaystyle{10}-{\left[\frac{{50}}{{-{2}\times{25}}}-{7}\right]}\times{4} ?
https://socratic.org/questions/how-do-you-simplify-10-50-2-times-25-7-times-4
See explanation! Explanation: Start inside the bracket with \displaystyle-{2}\times{25}=-{50} \displaystyle\frac{{50}}{{-{50}}}=-{1} \displaystyle-{1}-{7}=-{8} \displaystyle-{8}\times{4}=-{32} ...
Why is (n+1)/2n = 1/2 + 1/n, and not 1/2 + 1/2n?
https://math.stackexchange.com/questions/976930/why-is-n1-2n-1-2-1-n-and-not-1-2-1-2n
If your n+1/2n represents \frac{n+1}{2n}, then we have\frac{n+1}{2n}=\frac{n}{2n}+\frac{1}{2n}=\frac{1}{2}+\frac{1}{2n} because \frac {A+B}{C}=\frac{A}{C}+\frac{B}{C}.
xy+x+y=0 What is the inverse Element?
https://math.stackexchange.com/q/981399
If the neutral element is 0 and you want to find the inverse of a \in G, that means you want to find B such that 0 = a*b. This implies: 0 = a*_{\scriptsize G} b = a\times_{\scriptsize \mathbb Q} b+_{\scriptsize \mathbb Q}a+_{\scriptsize \mathbb Q}b = (a+_{\scriptsize \mathbb Q}1)\times (b+_{\scriptsize \mathbb Q}1) -_{\scriptsize \mathbb Q} 1 ...
Draw probability tree for drawing black & white cards (how to use P(A|B))
https://math.stackexchange.com/questions/189845/draw-probability-tree-for-drawing-black-white-cards-how-to-use-pab
The relevant (and very useful) formula is \Pr(P|Q)\Pr(Q)=\Pr(P\cap Q), or any of its variants, such as \Pr(P|Q)=\frac{\Pr(P\cap Q)}{\Pr(Q)}. It is in general a good idea to know one of the ...
More Items
Share
Copy
Copied to clipboard
\frac{1}{3}+\frac{9}{8}\times \left(\frac{15}{3}\right)-\frac{26}{10}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.
\frac{1}{3}+\frac{9}{8}\times 5-\frac{26}{10}
Divide 15 by 3 to get 5.
\frac{1}{3}+\frac{9\times 5}{8}-\frac{26}{10}
Express \frac{9}{8}\times 5 as a single fraction.
\frac{1}{3}+\frac{45}{8}-\frac{26}{10}
Multiply 9 and 5 to get 45.
\frac{8}{24}+\frac{135}{24}-\frac{26}{10}
Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{45}{8} to fractions with denominator 24.
\frac{8+135}{24}-\frac{26}{10}
Since \frac{8}{24} and \frac{135}{24} have the same denominator, add them by adding their numerators.
\frac{143}{24}-\frac{26}{10}
Add 8 and 135 to get 143.
\frac{143}{24}-\frac{13}{5}
Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.
\frac{715}{120}-\frac{312}{120}
Least common multiple of 24 and 5 is 120. Convert \frac{143}{24} and \frac{13}{5} to fractions with denominator 120.
\frac{715-312}{120}
Since \frac{715}{120} and \frac{312}{120} have the same denominator, subtract them by subtracting their numerators.
\frac{403}{120}
Subtract 312 from 715 to get 403.
Similar Problems
\frac{ 4 }{ 12 } - \frac{ 9 }{ 7 }
\frac{ 4 }{ 12 } \times \frac{ 9 }{ 8 }
\frac{ 4 }{ 12 } \div \frac{ 9 }{ 8 }
\frac{ 4 }{ 12 } + \frac{ 9 }{ 8 }
\frac{ 4 }{ 12 } + \frac{ 9 }{ 8 } \times \frac{15}{3} - \frac{26}{10}
\frac{ 1 }{ 8 } + 2 ( \frac{ 9 }{ 7 } ) \div \frac{15}{3}
Back to top