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RoseWind [281]
3 years ago
8

Find a ratio equivalent to 15/60

Mathematics
2 answers:
Flauer [41]3 years ago
7 0

Answer:

\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}

or

\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots

or

Multiply the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots

astraxan [27]3 years ago
4 0

Answer:

30/120, 45/180, 60/240, etc.

Step-by-step explanation:

When you multiply the denominator and numerator by any same number, you find a multiple, or ratio, of a fraction.

<u>15</u> x2 = <u>30</u>

60 x2 = 120

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Answer:

  A. 1 rectangle, 2 triangles

  B. AB = AE = 5

  C. 36.5 square units

Step-by-step explanation:

<h3>A.</h3>

The attached figure shows 1 rectangle (square) and two triangles.

__

<h3>B.</h3>

These sides are aligned with the grid, so their length is simply the difference in coordinates along the line:

  AB = 2 -(-3) = 5

  AE = 3 -(-2) = 5

__

<h3>C.</h3>

The area of the square is ...

  A = s^2 = 5^2 = 25

The area of triangle BCF is ...

  A = 1/2bh = 1/2(3)(5) = 15/2

The area of triangle CDE is ...

  A = 1/2bh = 1/2(8)(1) = 4

The total area is the sum of the areas of the square and two triangles:

  total area = 25 +7.5 +4 = 36.5 . . . square units

_____

<em>Additional comment</em>

We note that segment CE divides the figure into <em>trapezoid</em> ABCE and <em>triangle</em> CDE. The trapezoid has bases 5 and 8, and height 5, so its area is ...

  A = 1/2(b1 +b2)h = 1/2(5 +8)(5) = 32.5

Triangle CDE has the same area as computed above, 4 square units. So, the total area of the figure is ...

  32.5 +4 = 36. 5 . . . . square units

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