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3 years ago

Express the fractions 1/2, 3/16, and 7/8 with an LCD

1 answer:

6 0

You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number.

You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers.

If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product.

However, you will be able to see that 16 is indeed the lowest common denominator:

2 × 8=16

8 × 2=16

16 × 1=16

So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same).

(1/2) x (8/8)= 8/16

(3/16) x (1/1)= 3/16

(7/8) x (2/2)= 14/16

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Addition of unlike fractions 5/3 + 7/4

Maru [420]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}}$

Step-by-step explanation:

$\star{ \sf{ \: \: \frac{5}{3} + \frac{7}{4}}}$

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

$\dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}}$

$\dashrightarrow{ \sf{ \frac{20 + 21}{12}}}$

Add the numbers : 20 and 21

$\dashrightarrow{ \sf{ \frac{41}{12}}}$

Convert the improper fraction into mixed fraction

$\dashrightarrow{ \boxed{\sf{3 \frac{5}{12} }}}$

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

4 0

3 years ago

Read 2 more answers

jesse drive 6 3/8 miles in a golf cart during a round of golf. Payton drives 7 3/4 miles . how much father dose payton drives

slava [35]

Hello! To answer your question, on how much farther Payton drives than Jesse, you need to understand the needed operation for this problem. From the given problem, you can assume that 7 3/4 is a bigger fraction than Jesse's 6 3/8. Once you figure out which operation is needed to find out how much more Peyton drove, you want to make both mixed numbers into inproper fractions. To make a mixed number into an improper fraction, you multiple the whole number by the denometer and add the product to the numeratior. Think of it as going around a clock if that helps. Once they are both improper, give them both a common denometer (if needed). Once you do that, you use the operation you decided on earlier; multiplication, division, addition, or subtraction. If you have any other questions on my answer, or any information I've given, feel free to shoot me a message or another question. I hope this helped, good luck!

4 0

3 years ago

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The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width

masha68 [24]

Area = length × width
Let w represent the width
8.75 = 3.5 × w
8.75/3.5 = w
w = 2.5

The width of the desktop is 2 1/2 feet

7 0

3 years ago

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Are triangles ABC and DEC congruent?

gizmo_the_mogwai [7]

Yes, by AAS