Two wires with length of 48 cm and 16 cm are to be cut into pieces of all the same length without remainder. Find the greatest possible length of the pieces.
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Two wires with length of 48 cm and 16 cm are to be cut into pieces of all the same length without remainder. Find the greatest possible length of the pieces.
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Answer:
4 equally cut wires with the measurement of 16 cm each
Step-by-step explanation:
Ganito yung ginawa ko:
48+16= 64
64÷16= 4
Walang remainder, same length, it meets the given requirements. So, I assume na tama ito
Answer: 16 cm
Step-by-step explanation:
"Two wires with length of 48 cm and 16 cm are to be cut into pieces of all the same length without remainder. Find the greatest possible length of the pieces."
first we want to separate the numbers from everything else, 48 and 16
now we want to figure out what they want us to do with these numbers. "Find the greatest possible length of the pieces" gives us a good hint. If they are all going to be the same length and we are trying to figure out the greatest possible length that they can be divided by, so we want to figure out the GCF (greatest common factor), to do this look at the diagram bellow
16 48
/ \ / \
8 (2) 24 (2)
/ \ / \
4 (2) 12 (2)
/ \ / \
(2) (2) 6 (2)
/ \
(3) (2)
what you want to do with this is to take all of these prime numbers and find the ones that they have in common and multiply them, in this case 2x2x2x2 or 2 to the power of 4. So 2 times 2 is 4, 4 times 2 is 8 and 8 times 2 is 16.
So the greatest common factor is 16, so you can divide both 48 and 16 by 16, leaving the answer, 16