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\frac{1}{5}+\frac{1}{3}

=3\cdot5\left(\frac{1}{5}\right)+3\cdot5\left(\frac{1}{3}\right)

=\frac{\left(3\left(1\right)+5\left(1\right)\right)}{3\cdot5}

=\frac{3+5}{15}

=\frac{8}{15}

To add the fractions 1/5 and 1/3, we need to find a common denominator. A common denominator is a number that both 5 and 3 can divide evenly.

- First, let’s find the common denominator by multiplying 5 and 3 together. So, 5 x 3 is 15. The common denominator we get is 15.

Now that we have the common denominator, we need to make both fractions have this denominator.

To do that, we need to multiply the top and bottom of 1/5 by 3. This gives us 3/15.

Next, we need to multiply the top and bottom of 1/3 by 5. This gives us 5/15.

Now, we have 3/15 and 5/15. Since the denominators are the same, we can add the numerators (the top numbers) together.

So, 3/15 + 5/15 equals (3 + 5) / 15 which simplifies to 8/15.

Therefore, 1/5 + 1/3 equals 8/15.

- Step 1: Find a common denominator. In this case, we could use 6 as a common denominator because both 3 and 2 go into 6 evenly.
- Step 2: Create equivalent fractions with the common denominator. For 1/3, we can multiply both the numerator (top number) and the denominator (bottom number) by 2, resulting in 2/6. For 1/2, we can multiply both the numerator and denominator by 3, giving us 3/6.
- Step 3: Now that both fractions have the same denominator, we can subtract the numerators. So, 2/6 – 3/6 becomes (2-3)/6 in fraction form.
- Step 4: Simplify the numerator. 2-3 equals -1, so the fraction becomes -1/6.
- Therefore, the solution to 1/3 – 1/2 is -1/6. This means if you take away 1/2 from 1/3, you will have -1/6 left.

\frac{1}{3}-\frac{1}{2}

=\frac{2\times1-3\times1}{3\times2}

=\frac{2-3}{6}

=-\frac{1}{6}

To solve this fraction, we need to multiply the numerators (the numbers on top) together and multiply the denominators (the numbers on the bottom) together.

Step 1:

Take the numerator of the first fraction, which is 3, and multiply it by the numerator of the second fraction, which is 10. So, 3 multiplied by 10 is 30.

Step 2:

Next, take the denominator of the first fraction, which is 25, and multiply it by the denominator of the second fraction, which is 9. So, 25 multiplied by 9 is 225.

Step 3:

Now, we have a new fraction with the numerator of 30 and the denominator of 225.

Step 4:

To simplify this fraction, we need to see if there’s any number we can divide both the numerator and denominator by and still get the same fraction.

Step 5:

In this case, we notice that both 30 and 225 are divisible by 5. So, let’s divide both numbers by 5.

Step 6:

When we divide the numerator 30 by 5, we get 6. And when we divide the denominator 225 by 5, we get 45.

Step 7:

Therefore, the simplified fraction of 3/25 multiplied by 10/9 is 6/45.

\frac{3}{25}\times\frac{10}{9}

\frac{\cancel{3}}{25}\times\frac{10}{\cancel{9}} = \frac{1}{5}\times\frac{2}{3}

\frac{1}{5}\times\frac{2}{3}=\frac{2}{15}

The operation of addition in words are represented thus

- Sum = more than
- Plus = greater than
- Gain = larger than
- Increase= enlarge
- Rise= grow
- Expand = augment

In word, the sum of a number and 10

n + 10

A number plus 20

n + 20

A number gained 20 or increaded by 20

n + 20

50 enlarged or expanded by a number, n.

50 + n

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\frac{12}{7}=1\ \frac{5}{7}

1\frac{8}{9}=\frac{17}{9}

\frac{1}{3}+\frac{2}{5}=\frac{11}{15}

2\frac{1}{3}+3\frac{1}{2}=5\frac{5}{6}

\frac{3}{9}-\frac{1}{2}=-\frac{1}{6}