Round each mixed number to the nearest whole number. Then, estimate the product. 8 9\10 x 1 4\5

Nance is riding her bike to a friend’s house 4 and 1/2 miles away. She’s ridden 2 and 3/5 miles. How much farther does she need

Alinara [238K]

<h2>Hello!</h2>

The answer is:

She still needs to ride

$1\frac{9}{10}miles$

From the statement, we know that Nance's friend is 4 1/2 miles away and she only has ridden 2 3/5 miles.

So, let be "x" the distance that she still need to ride to get to her friend's house.

The equation will be:

$TotalDistance=RiddenDistance+x$

Remember that:

$a\frac{b}{c}=a+\frac{b}{c}$

Also, if we need to add/substract fractions we must remember that:

$\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$

If we need to switch fractions to mixed numbers, we need to:

- Perform the division

- Keep the whole number and make a fraction with the aproximated next whole number (remainder) as numerator, and the original denominator. We need to use the remainder to approximate to the next whole number.

$\frac{a}{b}=c.r$

Where:

$a=numerator\\b=denominator\\c=WholePart\\r=NextWholeNumber$

So,

$\frac{a}{b}=c\frac{r}{b}$

Then, substituting the given information into the equation, we have:

$4\frac{1}{2} =2\frac{3}{5} +x\\\\x=(4\frac{1}{2}) -(2\frac{3}{5})=4+\frac{1}{2}-2-\frac{3}{5}=2+\frac{1}{2}-\frac{3}{5}\\\\x=2+\frac{1}{2}-\frac{3}{5}=2+\frac{5-6}{10}=2-\frac{1}{10}\\\\x=2-\frac{1}{10}=\frac{20-1}{10}=\frac{19}{10}$

So, she still need to ride $\frac{19}{10}miles$

or

$1\frac{9}{10}miles$

To prove if the answer is reasoable, let's substituite the obtained value into the equation and check if the equation is satisfied:

$4\frac{1}{2}=2\frac{3}{5}+1\frac{9}{10}$

$4\frac{1}{2}=\frac{13}{5}+\frac{19}{10}$

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

$4\frac{1}{2}=4\frac{1}{2}$

Have a nice day!

8 0

2 years ago

1/2bh for b=8 and h=11

svlad2 [7]

Answer:

44

Step-by-step explanation:

1/2bh, b=8, h=11

1/2*8*11

1/2*88

=44

5 0

1 year ago

What is the square root of 12?<br>

andrew11 [14]

I beilieve it’s 11 I’m not 100% certain though

4 0

2 years ago

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What is the slope?<br> A) -5/4<br> B) 5/4<br> C)-4/5<br> D)4/5

seraphim [82]

c) 4/5 .....................

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2 years ago

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What is the prime factorization of 102

morpeh [17]

<span>102 is a composite number. 102 = 1 x 102, 2 x 51, 3 x 34, or 6 x 17. Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102. Prime factorization: 102 = 2 x 3 x 17.</span>Apr 28, 2014prime factors of 102 | Find the Factors<span>https://findthefactors.com/tag/prime-factors-of-102/</span>

5 0

2 years ago