All categories

4 years ago

Write two different mixed numbers where the LCD (lowest common denominator) is 12

Mathematics

1 answer:

Mars2501 [29]4 years ago

5 0

Two mixed numbers as $\frac{5}{6}$ and $\frac{5}{12}$ the least common denominator (LCD) is 12.

<u>Step-by-step explanation:</u>

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

<u>Steps to find the LCD of fractions, integers and mixed numbers:</u>

Convert integers and mixed numbers to improper fractions
Find the LCD of all the fractions
Rewrite fractions as equivalent fractions using the LCD

Let's us have two mixed numbers as $\frac{5}{6}$ and $\frac{5}{12}$ .

Equivalent Fractions with the LCD

$\frac{5}{6}$ = $\frac{10}{12}$

$\frac{5}{12}$ = $\frac{5}{12}$

For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.

You might be interested in

An investor invested a total of $3 comma 500 in two mutual funds. One fund earned a 4% profit while the other earned a 2% pro

lesya [120]

Answer:

$2000 invested in first fund

$1500 invested in second fund

Step-by-step explanation:

An investor invested a total of $3,500 in two mutual funds.

Let x be the amount invested in first fund

first fund earned a 4% profit (4%= 0.04)

So interest is 0.04x for first fund

Let x be the amount invested in first fund

first fund earned a 4% profit (4%= 0.04)

So interest is 0.04x for first fund

Let y be the amount invested in second fund

second fund earned a =2% profit (2%= 0.02)

So interest is 0.02y for second fund

An investor invested a total of $3,500 in two mutual funds.

So x+y = 3500----> equation 1

y= 3500-x

the investor's total profit was $110

0.04x + 0.02y = 110----> equation 2

Plug in 3500 -x for y

0.04x + 0.02(3500-x) = 110

0.04x + 70 - 0.02x = 110

0.02x + 70 = 110

Subtract 70 onboth sides

0.02x = 40

Divide both sides by 0.02

x= 2000

y= 3500-x

so y= 3500 - 2000 = 1500

$2000 invested in first fund

$1500 invested in second fund

3 0

3 years ago

What is -1/2-(5/9) in the simplest form

Dmitriy789 [7]

Answer:

-19/18 or -1 1/18 or -1.055

Step-by-step explanation:

All same answer, just which ever you choose

4 0

3 years ago

Read 2 more answers

The Sweet Shoppe wishes to sell a special mix for Valentine’s Day that consists of Dark Chocolate that costs $4.00 per lb and Mi

Mashutka [201]

Answer: Quantity of Dark Chocolate used = 15 lb

Quantity of Milk Chocolate used = 35 lb

Step-by-step explanation:

Let x = Quantity of Dark Chocolate.

y = Quantity of Milk Chocolate.

As per given , we have the following system of equations:

$x+y= 50-------------(1)\\\\ 4x+2y=50\times2.60\\\\ 4x+2y=130-----------(2)$

Multiply equation (1) by 2 , we get

$2x+2y= 100-------(3)$

Eliminate equation (3) from equation (2) , we get

$2x=30\\\Rightarrow\ x=15$

Put x= 15 in (1) , we get $15+y=50$

⇒ y=35

Therefore , Quantity of Dark Chocolate used = 15 lb

Quantity of Milk Chocolate used = 35 lb

8 0

4 years ago

A rectangle is three centimeters.longer than it is wide. if its length were to be decreased by two centimeters, its area would d

Scorpion4ik [409]

Given/equations formed from text:
I: l=w+3
II: A=l*w
III: new area B=(l-2)*w
IV: B=A-30

substitute l in II with I to remove l:
II': A=l*w=
(w+3)*w=
w^2+3w

substitute l in III with I to remove l:
III': B=(l-2)*w=
(w+3-2)*w=
(w+1)*w=
w^2+w

substitute A and B from II' and III' into IV:
B=A-30
w^2+w=w^2+3w-30
30=2w
w=15

insert w=15 into I:
l=15+3=18
->
A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16

B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2

7 0

4 years ago

Shane bicycled 4 and 1/2 miles on Monday, 4 miles on Tuesday and 5 and

solniwko [45]

4.5 + 4 + 5.25 = 13.75 miles in total (13 and 3/4)

4 0

4 years ago