What is 1/7 plus 2/8?

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What is 1/7 plus 2/8?

Answer

1/7 plus 2/8 is
11/28

As a decimal: ≈ 0.3929

1
7
+
2
8
=
11
28

11/28 is the result of adding 1/7 and 2/8.

Steps to add 1/7 and 2/8

Only parts of the same size can be counted together, so 1/7 + 2/8 is solved by giving both fractions the same denominator and then adding the numerators. Here is every step.

Step 1: Simplify what can be simplified

Reducing a fraction before adding does not change the value, it only keeps the common denominator small.

2/8 = 1/4

So this is the same question as 1/7 + 1/4, and both give the same answer.

Step 2: Find the common denominator

The least common multiple of 7 and 4 is 28, so both fractions are rewritten over it.

1/7 = 4/28 (× 4)

1/4 = 7/28 (× 7)

Step 3: Add the numerators

The denominator stays as it is — it says how big each part is, and that has not changed. Only the count of parts is added up.

4/28 + 7/28

=

(4 + 7)/28

=

11/28

Answer

1/7 + 2/8

=

11/28

As a decimal, 1/7 + 2/8 ≈ 0.3929 — the decimal form is rounded, the fraction 11/28 is the exact answer.

See Also

Adding Fractions Calculator

This calculator adds two fractions and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can add 2 1/3 to 1 just as easily as 1/2 to 1/3.

For example, it can help you find out what is 1/7 plus 2/8? (The answer is: 11/28).

Enter the first fraction on the left and the second one on the right (for example '1/7' and '2/8'), then press the button.

The result is given as a fraction in its lowest terms, as a mixed number when it is greater than one, and as a decimal — with an approximation sign whenever the decimal never ends.

Every page also shows why the method works: only parts of the same size can be counted together, so both fractions are first rewritten over their least common denominator and only then are the numerators added.

Adding Fractions Calculator
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Fraction Addition Table

AdditionResultDecimal Form
1/7 + 1/1219/84≈ 0.2262
1/7 + 1/1017/70≈ 0.2429
1/7 + 1/916/63≈ 0.254
1/7 + 1/815/56≈ 0.2679
1/7 + 1/72/7≈ 0.2857
1/7 + 1/613/42≈ 0.3095
1/7 + 1/512/35≈ 0.3429
1/7 + 2/923/63≈ 0.3651
1/7 + 1/411/28≈ 0.3929
1/7 + 2/811/28≈ 0.3929
1/7 + 2/73/7≈ 0.4286
1/7 + 3/1031/70≈ 0.4429
1/7 + 1/310/21≈ 0.4762
1/7 + 3/829/56≈ 0.5179
1/7 + 2/519/35≈ 0.5429
1/7 + 5/1247/84≈ 0.5595
1/7 + 3/74/7≈ 0.5714
1/7 + 1/29/14≈ 0.6429
1/7 + 2/49/14≈ 0.6429
1/7 + 3/526/35≈ 0.7429

FAQ

What is 1/7 plus 2/8?

1/7 plus 2/8 is 11/28

How do you add 1/7 and 2/8?

First reduce what can be reduced: 1/7 + 2/8 is 1/7 + 1/4 in lowest terms. The sum is then 4/28 + 7/28 = 11/28, already in lowest terms.

What is 1/7 plus 2/8 as a decimal?

The exact answer is the fraction 11/28; its decimal form is rounded here, so 1/7 + 2/8 ≈ 0.3929.

Is 1/7 + 2/8 the same as 1/7 + 1/4?

Yes — 1/7 + 1/4 is the same addition written in lowest terms, and both give 11/28. Reducing before adding only makes the common denominator smaller.