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Answer:

#HCF = 18#

Explanation:

When working with HCF and/or LCM, write each number as the product of its prime factors. That will tell you everything you need to know about a number.

Look for all the common factors:

#" "36 = 2xx2xx3xx3#
#" "ul(54 = 2" "xx3xx3xx3)#
#HCF = 2" "xx3xx3" "= 18#

The highest common factor is the product of all the common factors.

This is a very quick and effective method, especially if you are working with large numbers where you might not know all of the factors.

The product of the prime factors will tell you whether a number is a power, like a square or a cube.
You can also use the prime factors to determine all the other factors as well.

Answer:

Well you find all the factors (which are two numbers that give you the desired product. Then you find out which of the numbers in common is the greatest and then you will find your GCF.

Explanation:

For example:

Find the GCF of #12,42#, and #24#.

#12=1,2,3,4,color(red)6,12#

#42=1,2,3,color(red)6,7,14,21,42#

#24=1,2,3,4,color(red)6,8,12,24#

And #6# is your greatest common factor that's how you do it. hope you enjoy your mini lesson.

Answer:

#3#

Explanation:

for small numbers listing all the factors can work out to be quicker

#hcf(9,12)#

factors #9: {color(red)(1,3),9}#

factors #12:{color(red)(1),2,color(red)(3),4,6,12}#

The common factors are in red.

so the #hcf=color(red)3#

Answer:

Positive whole numbers which aren't prime.

Explanation:

A number which can be divided by numbers other than itself and one - if it has multiple factors.

Eg: 4 - is divisible by 1, 2, and 4. #:.# is composite.

The composite numbers under twenty are 4, 6, 8, 10, 12, 14, 15, 16, 18,and 20.

Answer:

#37/24 or 1 13/24#

Explanation:

First, you need a common denominator; in this case, you can just multiply the denominators together:

#3 xx 8 = 24#

In other cases, you would need to find the least common multiple between two the denominators.

Now, you just need to add two fractions with that new common denominator we just found. Keep in mind, you can't just do

#2/24 + 7/24#

because that would change the VALUE of the two fractions (e.g. #2/24# is smaller than #2/3#). So to make #2/3# with a denominator of #24# (but with the same VALUE), you have to multiply the numerator and denominator by #8#, which will give you #16/24#.

For the second fraction, you would multiply the numerator and denominator by #3# to get #21/24#.

So we now have

#16/24 + 21/24#

You can safely add the two fractions because they have a common denominator, resulting in the final answer of #37/24#.

This is an improper fraction (e.g. the numerator is higher than the denominator). You can divide numerator and denominator to get a proper fraction, which in this case will be #1 13/24#.

Answer:

See a solution process below:

Explanation:

1 dozen is 12, therefore 3 dozen is #3 xx 12 = 36#

We can write the correlation:

#(1.5"tsp")/8 = b/36#

Multiply each side of the equation by #color(red)(36)# to solve for #b# while keeping the equation balanced:

#color(red)(36) xx (1.5"tsp")/8 = color(red)(36) xx b/36#

#(54"tsp")/8 = cancel(color(red)(36)) xx b/color(red)(cancel(color(black)(36)))#

#((2 xx 27)"tsp")/(2 xx 4) = b#

#((color(red)(cancel(color(black)(2))) xx 27)"tsp")/(color(red)(cancel(color(black)(2))) xx 4) = b#

#27/4"tsp" = b#

#(24 + 3)/4"tsp" = b#

#(24/4 + 3/4)"tsp" = b#

#(6 + 3/4)"tsp" = b#

#6 3/4"tsp" = b#

The answer is: b. 6 and 3 fourths tsp

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  • Bryce answered · 2 days ago
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