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3 years ago

Sam walked 3/5 of a mile to school. He also walked 6/7 of a mile on his way home. How far did Sam walk in all?

2 answers:

7 0

3/5 of 1 mile = 3/5 × 1 = 3 / 5 = 0.6 mile
6/7 of 1 mile = 6/7 × 1 = 6 / 7 = 0.85 mile

total walking distance = 0.6 + 0.85 = 1.45 miles

IF IN FRACTIONS : 3/5 + 6/7
to equalise the denominators multiply 3/5 by 7...........and in 2nd fraction multiply 6/7 by 5

this will become : 21/35 + 30/35
= 51/35 miles

HOPE IT HELPED !!

luda_lava [24]3 years ago

5 0

$\frac{3}{5} + \frac{6}{7}$ you have to get the common denominator which will be:

$\frac{3*7}{5*7} + \frac{6*5}{7*5} = \frac{21}{35} + \frac{30}{35} = \frac{51}{35} or 1 \frac{16}{35} or 1.46$

Hope that helps

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2 years ago

Find the circumferences of the two circles circle a has a radius of 21 meters and circle b has a radius of 28 meters Is the rela

Feliz [49]

Answer:

The circumference for circle a is $\\ C = 131.9430$ m.

The circumference for circle b is $\\ C = 175.9240$ m.

The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as $\\ \frac{C}{r} = 2\pi$ or, in a less familiar form, $\\ \frac{r}{C} = \frac{1}{2\pi}$ . The number $\\ \pi$ is constant for all circles and has infinite digits, $\\ \pi = 3.14159265358979....$ .

Step-by-step explanation:

The circumference of a circle is given by:

$\\ C = 2*\pi*r$ [1]

Where

$\\ C$ is the circle's circumference.

$\\ r$ is the radius of the circle.

And

$\\ \pi = 3.141592....$ is a constant value (explained below)

We can say that the distance around the circle is the circle's circumference.

The circumferences of the two circles given are:

Circle a, with radius equals to 21 meters ( $\\ r = 21m$ ).

Using [1], using four decimals for $\\ \pi$ , we have:

$\\ C = 2*\pi*r$

$\\ C = 2*3.1415*21$ m

$\\ C = 131.9430$ m

Then, the circumference for circle a is $\\ C = 131.9430$ m.

Circle b, with radius equals to 28 meters ( $\\ r = 28m$ ).

$\\ C = 2*3.1415*28$ m

$\\ C = 175.9240$ m

And, the circumference for circle b is $\\ C = 175.9240$ m.

We know that

$\\ 2r = D$

That is, the diameter of the circle is twice its radius.

Then, if we take the distance around the circle and we divided it by $\\ 2r$

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

This ratio, that is, the relationship between the distance around the circle (circumference) and the diameter of a circle is $\\ \pi$ and is constant for all circles. This result is called the $\\ \pi$ number, which is, approximately, $\\ \pi = 3.141592653589793238....$ (it has infinite number of digits).

We can observe that the relationship between the radius of a circle and the circumference is also constant:

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

$\\ \frac{C}{2r} = \pi$

$\\ \frac{C}{r} = 2\pi$

However, this relationship is $\\ 2\pi$ .

We can rewrite it as

$\\ \frac{r}{C} = \frac{1}{2\pi}$

And it is also constant.

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3 years ago

Give an example of fractions that you would compare by finding common denominators,and an example of fractions you would compare

creativ13 [48]

Answer:

Correct answer: 2/3 < 3/4

Step-by-step explanation:

We will compare the following two fractions:

2/3 and 3/4

First we will find common denominator:

The common denominator for 3 and 4 is 12, then we will multiply

first fraction with 4 and second with 3 and get:

8/12 and 9/12 and we conclude that 9/12 is greater than 8/12

respectively that 3/4 is greater than 2/3

Second we will find common numerator:

The common numerator for 2 and 3 is 6, then we will multiply

first fraction with 3 and second with 2 and get:

6/9 and 6/8 and we conclude that 6/8 is greater than 6/9, the reason is, the greater the fraction, the smaller the denominator

respectively that 3/4 is greater than 2/3

God is with you!!!

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3 years ago