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timama [110]
3 years ago
5

The least common denominator of 1/2, 1/8, and 1/10 is

Mathematics
2 answers:
pantera1 [17]3 years ago
6 0

the answer would be B

disa [49]3 years ago
6 0

Answer: Option B.

Step-by-step explanation:

Descompose the denominator of each fraction into its corresponding prime factors. Then:

2=2*1\\8=2*2*2=2^3\\10=2*5

Now you need to choose the commons a non-commons with the highest exponent. These are: 2³, 1 and 5.

Finally you need to multiply them to get that the Least common denominator of \frac{1}{2},\ \frac{1}{8}\ and\ \frac{1}{10} is. Therefore, this is:

LCD=2^3*1*5\\LCD=40

This matches with the option B.

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A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calcu
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Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

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If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

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Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

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