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eduard
4 years ago
6

Hcf and lcm 112 and 46 using prime factorisation

Mathematics
2 answers:
White raven [17]4 years ago
7 0

Answer:

HCF: 2

LCM: 2576

Step-by-step explanation:

Prime factorizations:

112 = 2×2×2×2×7

46 = 2×23

HCF: 2 (only common factor)

LCM: 2×2×2×2×7×23 = 2576

MA_775_DIABLO [31]4 years ago
4 0

Answer:

HCF of 112 and 46 = 2

Step-by-step explanation:

HCF/GCD/GCF all mean the same. They are the highest common factor of two or more numbers.

Step 1: First you extract all the 'Prime' factors of each number.

The ladders on the image show that you are dividing each number with the smallest prime number. You keep doing it till you reach 1 .

Step 2: Then you write the factors of each.

Step 3: You choose the common factors.

Step 4: Multiply the common factors (if any) and then you have your answer.

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
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Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

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Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

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$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

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Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t
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Answer:

x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.

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Step-by-step explanation:

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each.

Let the number of sold fruit pies is x and bottles of fruit juice is y.

So, from the given condition we can write

x + y = 60 ........ (1)

⇒ 1.4x + 1.4y = 84 ....... (2) and

1.55x + 1.4y = 88.20 ........ (3)

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4 years ago
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