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3 years ago

The greatest common factor of 24,40 and 56

1 answer:

7 0

The factors of 24 are 1,2,3,4,6,8,12, and 24. The factors of 40 are 1,2,4,5,8,10,20, and 40. The factors of 56 are 1,2,4,7,8,14,28, and 56. 24÷8=3. 40÷8=5. 56÷8=7. Therefore, the GCF of 24,40, and 56 is $\boxed{8}$

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Write -7.32 as a Fraction/Mixed Number In Simplest Form. Also Show Steps To How You Got To Your Answer.

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Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

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Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$

Multiplying both sides by 3(x+10)

$3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5$

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

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