What is 1 and 8/7 as a Decimal?

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What is 1 8/7 as a decimal?

Answer

Fraction 1 8/7 as a decimal is
2.142857

≈ 2.14 to hundredths

Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 142857 — 6 digits repeat forever

1 8/7: whole part, then 8 ÷ 7

8 = 1 × 7 + 1: whole part 1 + 1 = 2, then divide the remainder 1

remainder×10= digit × 7 + new remainderdigit
1101 × 7 + 31
3304 × 7 + 24
2202 × 7 + 62
6608 × 7 + 48
4405 × 7 + 55
5507 × 7 + 17

Remainder 1 is back after the 6th division → the 6 digits 142857 repeat: 0.142857.

2 + 0.142857 = 2.142857

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1 8/72.142857
1 8/91.8
1 8/101.8
1 8/111.72
1 8/121.6
1 8/131.615384
1 8/141.571428
1 8/151.53
1 8/161.5
1 8/171.4705882352941176
1 8/181.4
1 8/191.421052631578947368
1 8/201.4
1 8/211.380952
1 8/221.36
1 8/231.34782608695652…
1 8/241.3
1 8/251.32
1 8/261.307692
1 8/271.296
1 8/281.285714
1 8/291.27586206896551…
1 8/301.26

FAQ

What is 1 8/7 as a decimal?

Fraction 1 8/7 as a decimal is 2.(142857)

How do you convert 1 8/7 to a decimal?

To convert 1 8/7 to a decimal, divide the numerator by the denominator, 8 ÷ 7 = 1.(142857), then add the whole part: 1 + 1.(142857) = 2.(142857).

Why is 1 8/7 a repeating decimal?

In lowest terms its denominator 7 has the prime factor 7, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1 8/7 as a percent?

Multiply by 100: 1 8/7 ≈ 214.29%.

See Also