All categories

3 years ago

What is the least common denominator of 7/8, 10/11 and 2/3

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

Equivalent Fractions with the LCD

7/8 = 231/264

10/11 = 240/264

2/3 = 176/264

Step-by-step explanation:

Solution:

Rewriting input as fractions if necessary:

7/8, 10/11, 2/3

For the denominators (8, 11, 3) the least common multiple (LCM) is 264.

LCM(8, 11, 3)

Therefore, the least common denominator (LCD) is 264.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/8 = 7/8 × 33/33 = 231/264

10/11 = 10/11 × 24/24 = 240/264

2/3 = 2/3 × 88/88 = 176/264

You might be interested in

If Chung's go-kart can travel 48 miles on 1 gallon of gas, how far can his go-kart travel on 1.15 gallons of gas?

Nataliya [291]

So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.

3 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-5,1) and has a slope of -1/5?

olchik [2.2K]

Answer:

x + 5y = 0

Step-by-step explanation:

y = mx + b

y = -1/5 x + b

1 = -1/5 (-5) + b

1 = 1 + b

b = 0

y = -1/5 x

5y = -x

x + 5y = 0

4 0

3 years ago

Look at the picture

Sonbull [250]

$\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \frac{9(|x-8|)}{9} < \frac{36}{9} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}$

$\underline{\boldsymbol{\sf{Answer}}}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }$

$\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \ correct \ option}} \ \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}$

6 0

2 years ago

In his freshman year, Mario earned a C in algebra, a B in English, an A in science, and a C- in geography. As a sophomore, he ea

Leya [2.2K]

from what I know

A=4

B=3

C=2

and a plus adds 0.33 and a minus minuses 0.33

question wants us to find yearly average or average per 1 year

since these grades span over 2 years, we must divide the total average by 2

averagefresh=sum of fresh grades/4 grades per year

averagesoph=sum of soph grades/4 grades per year

yearlyaverage=(averagefresh+averagesoph)/2

freshman:

(C)+(B)+(A)+(C-)=2+3+4+(2-0.33)=10.67

sophomore:

(B+)+(A-)+(C+)+(B-)=(3+0.33)+(4-0.33)+(2+0.33)+(3-0.33)=12

averagefresh=10.67/4=2.6675

averagesoph=12/4=3

yearlyaverage=(2.6675+3)/2=2.83375

so it's about a $B^{-}$ average

7 0

3 years ago

A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance

valentinak56 [21]

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

3 0

2 years ago