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Stella [2.4K]
3 years ago
12

How to subtract a negative fraction from a positive fraction?

Mathematics
1 answer:
ikadub [295]3 years ago
8 0
Let's take an example to illustrate this case:

<span>positive fraction = 2/7
</span>
<span>negative fraction = - 3/5

Now we need to subtract  </span><span>- 3/5 from 2/7

Right?

2/7 - (-3/5) = 2/7 + 3/5

here we need to unify the denominators as follows:

the lowest common factor between 7 and 5 is 35
2/7 = 10/35
3/5 = 21/35

Now back to </span><span>2/7 + 3/5:

</span><span><span>2/7 + 3/5 = 10/35 + 21/35 = (10+21)/35 = 31/35

That's it




Hope that helps you</span>
</span>
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What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?
Marina86 [1]

Answer:

1. 0.04b. <u>0.04b is 2% of 2b. It is smaller than 2b by 98%.</u>

2. 0.2b. <u>0.2b is 10% of 2b. It is smaller than 2b by 90%.</u>

3. 0.56b. <u>0.56b is 28% of 2b. It is smaller than 2b by 72%.</u>

<u>4. </u>1.8b. <u>1.8b is 90% of 2b. It is smaller than 2b by 10%.</u>

<u>5. </u>2.5b. <u>2.5b is 125% of 2b. It is larger than 2b by 25%.</u>

<u>6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.</u>

Step-by-step explanation:

1. 0.04b

<u>For all the cases, we will use Rule of Three, this way.</u>

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

<u>0.04b is 2% of 2b. It is 98% smaller than 2b.</u>

<u>For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.</u>

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

<u>0.2b is 10% of 2b. It is 90% smaller than 2b.</u>

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

<u>0.56b is 28% of 2b. It is 72% smaller than 2b.</u>

<u>4. </u>1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

<u>1.8b is 90% of 2b. It is 10% smaller than 2b.</u>

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

<u>2.5b is 125% of 2b. It is 25% larger than 2b.</u>

<u>In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.</u>

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Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

<u>3b is 150% of 2b. It is 50% larger than 2b.</u>

<u>In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.</u>

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7 0
3 years ago
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