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user100 [1]
3 years ago
8

What is the answer to 7/12 plus 1/3

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer: 11/12

Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.

The fraction 7/12 already has a 12 in the denominator so we leave it alone.

To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.

Now we are adding like fractions.

To add like fractions, we simply add across the numerators.

7/12 + 4/12 = 11/12

Therefore, 7/12 + 1/3 = 11/12.

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Simplify Each. Final answers should be either mixed numbers or improper in lowest terms.
nevsk [136]

a. 7/ 8

b. 7/ 3

c. 50 / 24

d. 29/ 6

<h3>What is a fraction?</h3>

A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.

Simple fractions are made up of both are integers.

Complex fractions has a fraction in the numerator or denominator

Proper fractions, have the numerator  less than the denominator.

a. 31/ 2÷ 4

7/ 2 ÷ 4

Take inverse of the second number and multiply

7/ 2 × 1/ 4

Multiply through

7/ 8

b. 3 2/ 3 ÷ 1 4/7

11/ 3 ÷ 11/ 7

Take inverse of the second number and multiply

11/ 3 × 7/ 11

Multiply through

7/ 3

c. 1/ 2 + 3/ 4 + 5/ 6

Find the LCM

12 + 18 + 20/ 24

We the have;

50 / 24

d. 11/ 2 - 2/ 3

Find the LCM

33 - 4/6

29/ 6

Thus, the answers are in improper fractions and can also be written in mixed fractions.

Learn more about fractions here:

brainly.com/question/1622425

#SPJ1

3 0
1 year ago
the perimeter of a rectangle is 68 cm. the length is 4 cm less than three times ots width. write a system of equation to find th
Gwar [14]

2L + 2w = 68 & L = 3w-4

2(3w-4) = 68

6w-8= 68

6w = 60

W= 10

L = 3*10-4

L= 30-4= 26

6 0
3 years ago
The blueprint of a concrete patio has a scale of 2 in. = 3 ft You want to find the dimensions of a new blueprint of the patio wi
LenKa [72]

Answer:

If\ old\ scale\ is\ taken:\ Length=45\ ft,\ Width=42\ ft\\\\If\ new\ scale\ is\ taken:\ Length=36\ ft,\ Width=33.6\ ft

Step-by-step explanation:

Older Scale:

2\ in=3\ ft\\\\\Rightarrow 1\ in=\frac{3}{2}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{3}{2}\ ft\\\\Length=45\ ft\\\\Width=28\ in\\\\width=28\times \frac{3}{2}\ ft\\\\width=42\ ft

New scale:

4\ in=5\ ft\\\\\Rightarrow 1\ in=\frac{5}{4}\ ft\\\\Length=30\ in\\\\Length=30\times \frac{5}{4}\ ft\\\\Length=36\ ft\\\\Width=28\ in\\\\width=28\times \frac{5}{4}\ ft\\\\width=33.6\ ft

4 0
4 years ago
If Josh can run 1.5 miles in 12 minutes, how long will it take him to run a mile?
olchik [2.2K]

Answer:

9 minutes

Step-by-step explanation:

12 divided by 1.5 is 9.

7 0
3 years ago
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