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Alona [7]
3 years ago
7

How does finding the least common multiple of two numbers help you add fractions?

Mathematics
1 answer:
just olya [345]3 years ago
3 0
Because, actually, I'll give an example. 4/5 + 3/4, the LCM of the denominators is 20, so you would get this to be 16/20 + 15/20, which would equal 31/20, which equals 1 11/20.
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How much is 160÷43×62
miv72 [106K]

Answer: 230.697

Step-by-step explanation:

7 0
3 years ago
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Given the regular octagon, what is the length of any side?
Jlenok [28]

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

3 0
3 years ago
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The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
Tema [17]

Answer:

2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
7 less than the product of a number and 8, increased by a number multiplied by 2
nataly862011 [7]

The expression for 7 less than the product of a number and 8, increased by a number multiplied by 2 is 8n-7 +2n

Given :

7 less than the product of a number and 8, increased by a number multiplied by 2

We need to write the given statement in an expression

Lets 'n' be the unknown number

the product of a number and 8

Product means multiplication

the product of a number and 8 mean n times 8 that is 8n

7 less than the product of a number and 8, subtract 7 from 8n

Expression becomes 8n-7

This is increased by a number multiplied by 2

number multiplied by 2 is 2n

So the final expression for the given statement is 8n-7 +2n

Learn more : brainly.ph/question/1023996

3 0
3 years ago
Yara has 2 rectangular gardens in her backyard. The smaller garden is 1/2 foot long and 2/3
dimulka [17.4K]

Dimension of smaller garden :

l = 1/2 ft.

b = 2/3 ft.

Dimension of bigger garden :

L = 4 ft.

Let , breadth be x ft.

We know , area is given by :

Area = L×B.

Area of small garden = \dfrac{1}{2}\times\dfrac{2}{3}=\dfrac{1}{3}\ ft^2

Area of big garden =4\times x=4x\ ft^2

Hence, this is the required solution.

5 0
3 years ago
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