Master Fraction Math Problems with Expert Help

How do you solve this fraction?
$\frac{2}{3} - \frac{1}{16}$
My answer: $\frac{1}{48}$ . I believe that it's incorrect.
Three does not divide into 16, so I cross multiplied. What am I doing wrong?

Dennis Montoya 2022-05-13

Evaluate $\frac{3}{4}$ to the power of $- 3$
I have gotten to the next stage where you write it as $\frac{1}{(\frac{3}{4})}$ to the power of $3$ , now I am stuck
I've got it now, thanks everyone.

Brody Collins 2022-05-13

What must be added to this mixed fraction to produce this mixed fraction
This may seem like a simple question which is fit for a Google search; however, I'm unable to find an answer.
What must be added to $6 \frac{3}{5}$ to produce $3 \frac{5}{6}$
I hope I'll finally understand. Step-by-step solution is much appreciated.

ureji1c8r1 2022-05-13

Partial Fraction Decomposition??
How do I separate this by partial fraction decomposition?
$\int \frac{1}{u (u^{2} + 1)} d u$
I've used the normal technique and got to:
$1 = A (u^{2} + 1) + B (u)$
$1 = A (u^{2} + 1) + B (u)$
and $A = 1$ if $u = 0$ BUT how do I find $B$ now? because I can't make $u^{2} + 1$ equal to 0.

Jaime Coleman 2022-05-12

Multiplying whole number with fractions.
I'm looking at a solution to a math problem and there are obviously some rules regarding multiplication of fractions that I don't know.
Can someone make any sense of this?
$s_{n} = 625 \cdot \frac{{(\frac{1}{5})}^{n} - 1}{\frac{1}{5} - 1} = 625 \cdot \frac{{(\frac{1}{5})}^{n} - 1}{- \frac{4}{5}} = - \frac{3125}{4} \cdot ({(\frac{1}{5})}^{n} - 1) = \frac{3125}{4} \cdot (1 - {(\frac{1}{5})}^{n})$
Can someone explain to me how you get from each step to another?

Kiersten Hodge 2022-05-11

Complex proof - Not sure where to go from here. (homework)
Knowing $2 π r = \frac{h}{m (\sqrt{\frac{e^{2}}{m r}})}$
How do I prove $r = \frac{h^{2}}{((2 π)^{2} m e^{2})}$ ?
I started by dividing both sides by $2 π$ to get
$r = \frac{h}{m (\sqrt{\frac{e^{2}}{m r}}) 2 π}$
then I squared both sides to get
$r^{2} = \frac{h^{2}}{m^{2} (\frac{e^{2}}{m r}) (2 π)^{2}}$
But I am not sure where to go from here to yield my expected result.
All help is appreciated.

oglasnak9h01 2022-05-11

Inequality Challenge with $a + b + c = 3$
I tried to prove this inequality, but I failed. It seemed that if one uses Cauchy-Schwarz inequality on the right hand side, it may expand RHS's value larger than LHS's. Problem is presented as follows:
If $a, b, c \geq 0$ and $a + b + c = 3$ , prove that
$2 (a b + b c + c a) - 3 a b c \geq a \cdot \sqrt{\frac{b^{2} + c^{2}}{2}} + b \cdot \sqrt{\frac{c^{2} + a^{2}}{2}} + c \cdot \sqrt{\frac{a^{2} + b^{2}}{2}}$

Elle Weber 2022-05-11

What is the property that allow the transformation $\frac{16 a^{3}}{8 a c} = \frac{16}{8} \cdot \frac{a^{3}}{a} \cdot \frac{1}{c}$ ?

Raphael Mccullough 2022-05-09

Compute 3/9+6*15/13+9 using the correct order of operations.

Matilda Webb 2022-05-09

Compute 14/11146-4*12 using the correct order of operations.

terrasson81sgt 2022-05-08

Perform the operations in the correct order: 12-6/15+6*5-9.

Annabel Sullivan 2022-05-07

If you are dealing with fraction math problems, you are in the correct section as you will find both questions and answers with detailed explanations. Before you study fraction problems with answers, ensure that you explore the original instruction because fraction algebra equations must be understood from a logical point of view. It is what makes fraction problems and answers important as they tend to inspire learners for thinking. If you cannot find a solution for your question, explore more fraction math problems with answers and try to find the rationality of divisions first!

Pre-Algebra

How do you solve this fraction?
$\frac{2}{3} - \frac{1}{16}$
My answer: $\frac{1}{48}$ . I believe that it's incorrect.
Three does not divide into 16, so I cross multiplied. What am I doing wrong?

Evaluate $\frac{3}{4}$ to the power of $- 3$
I have gotten to the next stage where you write it as $\frac{1}{(\frac{3}{4})}$ to the power of $3$ , now I am stuck
I've got it now, thanks everyone.

What is the property that allow the transformation $\frac{16 a^{3}}{8 a c} = \frac{16}{8} \cdot \frac{a^{3}}{a} \cdot \frac{1}{c}$ ?

Compute 3/9+6*15/13+9 using the correct order of operations.

Evaluate 715-8+66*9.

Reduce 3/913/12+128.

Compute 12+8/13-8+7+4.

Compute 11/4*6+14/10+10.

Reduce 58+13-15/1011.

Compute 13* 6 -3+14+10-12.

Compute 14/11146-4*12 using the correct order of operations.

Reduce 15-9+14114*7.

Perform the operations in the correct order: 12-6/15+6*5-9.

Reduce 6*8+12-7-4/8.

Evaluate 5+5/6-8-13+10.

Explore Fraction Concepts with Examples and Questions