Laney walks one and two thirds of a mile to school from her house and rides the buss home. If she walked five days last week, how many miles did Laney walk in total?

Respuesta :

Answer:

The answer to your question is: 8 and one third of a mile.

Step-by-step explanation:

Data

Laney walks 1 2/3

Process

Convert 1 2/3 into a improper fraction

                     1 2/3  =    (3 + 2) / 3  = 5/3

She walks only from home to school, then she walks 5 one way

                     5 (5/3) = 25/3

Convert to a mix fraction

                                              8 1/3 of a mile

Answer:

8 1/3

Step-by-step explanation:

The question is asking how many TOTAL (meaning it is increased so it could either be multiplication or addition) miles Loney walked in FIVE days. She walk 1 2/3 A DAY. This can be solved in two ways: multiplication AND addition. Addition: you just have tot turn the mixed fraction into improper fraction and then add the answer five times. But...wouldn’t multiplication be faster and easier..? Sure.

Step 1: Turn mixed fraction into improper.

1 2/3 as an improper fraction is 5/3. How? well multiply and denominator and the whole number and then add the numerator!

Step 2. Make an equation.

The equation should look like 5/3 x 5/1 (1 under 5 because remember there is ALWAYS an imaginary 1 under whole number while multiplying with fractions!)

Step 3. Multiply across

5x5=25

3x1=3 so it’s 25/3. There isn’t any LCM between 25 and 3 so we can only turn it into mixed number (you DEFINITELY can’t leave it like that! You MUST reduce to lowest terms for the correct answer!)

Step 4. Turn back into a mixed number.

there are several ways to do this.

1. Divided 25 by 3 and put the quotient as a whole number, remainder as a numerator and keep the same denominator.

OR

2. More faster way (if you know multiplication tables!)

How many times does 3 (denominato) goes into 25(numerator)? Well, read out the multiplication tables of 3!

3 times 8 equals 24! 3x9 will make it 27 so it doesn’t match with our numerator. So the answer is times 8! It becomes our whole number and it’s still 24 and our numerator is 25 so we have 1. Therefore, 1 is our numerator and we keep the same denominator :)

Hence, the answer is 8 1/3! Hope it helped! :D