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Marat540 [252]
3 years ago
11

Subtract these fractions. 3/13−1/23

Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer: 56/299

Step-by-step explanation:

Find the LCD (least common denominator) of the two numerators, which is 299. Then make the denominators in same as the LCD. Multiply the top part of each fraction individually, then subtract them together. Then join the two denominators together and simplify.

Hope this helps, have a blessed and wonderful day, as well as a good rest of your 2020 school year!

- Cutiepatutie

disa [49]3 years ago
6 0
The answer would be 56/299
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41.9 %

Step-by-step explanation:

when you look at the to numbers you will see that the two has a 41.9 % difference.

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Step-by-step explanation:

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.
bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y  } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}

                                                              \large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \  \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28  } \end{gathered}$}

                                                                  \large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20  } \end{gathered}$}

The fraction that satisfies the request is \bf{\dfrac{20}{28}} , since in \bf{\dfrac{-20}{-28}} the negative signs are canceled and the first fraction is obtained.

3 0
1 year ago
Solve the inequality |2h-3| >1
mel-nik [20]

Answer:

\large\boxed{h>2\ \vee\ h

Step-by-step explanation:

|2h-3|>1\iff2h-3>1\ \vee\ 2h-34\ \vee\ 2h2\ \vee\ h

5 0
3 years ago
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