How do I multiply 12.8 x 3/4

Mathematics

2 answers:

sergeinik [125]2 years ago

5 0

You'll have to either transform 12.8 to a fraction or 3/4 to a decimal number. I'll transform 3/4 to a decimal:

3/4 = 0,75

After that we do the multiplication normally:

12.8 x 0,75 = 9,6

If you want, you can tranform 9,6 into a fraction:

$\frac{96}{10}$ = $\frac{48}{5}$

Hope it helped,

BioTeacher101

swat322 years ago

4 0

First, you have to make them alike by either turning them both into decimals or both into fractions. In this situation, it’s MUCH easier to turn the numbers both into decimals. 3/4 in decimal for is .75 which then allows you to multiply them!

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Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a differen

Anna007 [38]

Answer:

5 miles.

Step-by-step explanation:

Consider the question: Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a different route taking 2 1/2 hours. How many miles did Jinghua hike on the return trip ?

First of all, we will find Jinghua's speed using given information as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Convert mixed fractions into improper fractions:

$4\frac{1}{2}\Rightarrow \frac{9}{2}$

$2\frac{1}{4}\Rightarrow \frac{9}{4}$

$\text{Jinghua's speed}=\frac{\frac{9}{2}\text{ Miles}}{\frac{9}{4}\text{ Hours}}$

Using property $\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$ :

$\text{Jinghua's speed}=\frac{9*4\text{ Miles}}{9*2\text{ Hours}}$

$\text{Jinghua's speed}=\frac{2\text{ Miles}}{\text{ Hour}}$

We know that distance is equal to the product of speed and time.

$\text{Distance}=\text{Speed}\times\text{Time}$

Since we have been given that Jingua hiked the return trip at the same average rate, so distance covered by her on return trip would be speed (2 miles her hour) times given time (2 1/2 hours).

$\text{Distance covered by Jingua on return trip}=\frac{2\text{ Miles}}{\text{ Hour}}\times 2\frac{1}{2}\text{ Hours}$