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Lynna [10]
3 years ago
11

A team of runners is needed to run a 1 3 -mile relay race. If each runner must run 1 9 mile, how many runners will be needed?

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

  3 runners

Step-by-step explanation:

The number of runners needed is the length of the race divided by the length each runner can run:

  (1/3 mi)/(1/9 mi/runner) = 9/3 runner = 3 runners

_____

There are a couple of ways you can divide fractions:

  → "invert and multiply." That is, multiply the numerator by the reciprocal of the denominator. Here, that is (1/3)(9/1) = 9/3 = 3

  → make the denominators the same and use the ratio of the numerators. Here that is (1/3)/(1/9) = (3/9)/(1/9) = 3/1 = 3

  → use a calculator (see attached)

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melisa1 [442]

Answer:

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Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

  18 ÷ 12 = 1 r 6

  12 ÷ 6 = 2 r 0 . . . . the GCF is 6

__

You can also factor the numbers and see what the common factors are.

  18 = 2·3·3

  12 = 2·2·3

The common factors are 2·3 = 6.

In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

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