What is 10 and 8/7 as a Decimal?

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What is 10 8/7 as a decimal?

Answer

Fraction 10 8/7 as a decimal is
11.142857

≈ 11.14 to hundredths

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

10 8/7: whole part, then 8 ÷ 7

8 = 1 × 7 + 1: whole part 10 + 1 = 11, 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.

11 + 0.142857 = 11.142857

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
10 8/711.142857
10 8/910.8
10 8/1010.8
10 8/1110.72
10 8/1210.6
10 8/1310.615384
10 8/1410.571428
10 8/1510.53
10 8/1610.5
10 8/1710.4705882352941176
10 8/1810.4
10 8/1910.421052631578947368
10 8/2010.4
10 8/2110.380952
10 8/2210.36
10 8/2310.34782608695652…
10 8/2410.3
10 8/2510.32
10 8/2610.307692
10 8/2710.296
10 8/2810.285714
10 8/2910.27586206896551…
10 8/3010.26

FAQ

What is 10 8/7 as a decimal?

Fraction 10 8/7 as a decimal is 11.(142857)

How do you convert 10 8/7 to a decimal?

To convert 10 8/7 to a decimal, divide the numerator by the denominator, 8 ÷ 7 = 1.(142857), then add the whole part: 10 + 1.(142857) = 11.(142857).

Why is 10 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 10 8/7 as a percent?

Multiply by 100: 10 8/7 ≈ 1,114.29%.

See Also