Add the following fractions. 3/8 + 5/12 = a 8/20 b 19/24 c 8/24 d 1/3

Mathematics

2 answers:

loris [4]3 years ago

8 0

3/8 + 5/12 =

B. 19/24

Goshia [24]3 years ago

5 0

We can calculate the mmc between 8 and 12

8, 12 | 2

4 , 6 | 2

2 , 3 | 2

1 , 3 | 3

1, 1 | 1

mmc = 2 × 2× 2×3

mmc = 24

24 ÷ 8 = 3

And

24 ÷ 12 = 2

3/8 + 5/12 = ( 3× 3+ 5×2)/24

= (9 + 10)/24

= 19 / 24

Answer = 19/24

Another way of calculating would be to multiply the denominator and multiply the extremes.

3/8 + 5/12 = ( 3 × 12 + 8×5)/8×12

= ( 36 + 40)/96

= 76/96

Division by 2

= 38 / 48

Division by 2

= 19 / 24

I hope this has helped.

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A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po

Ronch [10]

Directed numbers are numbers that have either a positive or negative sign, which can be shown on a number line. Therefore, point F is Fifteen-halves of line segment DE.

A number line is a system that can show the positions of positive or negative numbers. It has its ends ranging from negative infinity to positive infinity. Thus any directed number can be located on the line.

Directed numbers are numbers with either a negative or positive sign, which shows their direction with respect to the number line.

In the given question, the distance between points D and E is 9 units. So that dividing 9 units in the ratio of 5 to 6, we have;

$\frac{5}{6}$ x 9 = $\frac{45}{6}$

= $\frac{15}{2}$

Therefore, the location of point F, which partitions the directed line segment from d to E into a 5:6 ratio is $\frac{15}{2}$ . Thus the answer is Fifteen-halves.

For further clarifications on a number line, visit: brainly.com/question/23379455

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