What is 1/742 as a Decimal?

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What is 1/742 as a decimal?

Answer

Fraction 1/742 as a decimal is
0.00134770889487…

≈ 0.0013 (two significant digits)

Repeating decimal: denominator 742 = 2 × 7 × 53 has the factor 7, 53, not 2 or 5 · a period of 78 digits — the first 14 decimal places are shown

1 ÷ 742 by long division

remainder×10= digit × 742 + new remainderdigit
1100 × 742 + 100
101000 × 742 + 1000
10010001 × 742 + 2581
… 74 more division steps …
33433404 × 742 + 3724
37237205 × 742 + 105

Remainder 10 returns after the 79th division → the period is 78 digits (computed, not printed).

See Also

Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/7010.00142653352353…
1/7140.00140056022408…
1/7150.0013986
1/7190.00139082058414…
1/7200.00138
1/7250.00137931034482…
1/7260.00137741046831…
1/7270.00137551581843…
1/7280.001373626
1/7290.00137174211248…
1/7330.00136425648021…
1/7340.00136239782016…
1/7370.00135685210312…
1/7380.001355
1/7400.00135
1/7420.00134770889487…
1/7430.00134589502018…
1/7470.00133868808567…
1/7500.0013
1/7510.00133155792276…
1/7540.00132625994694…
1/7570.00132100396301…
1/7580.00131926121372…
1/7600.001315789473684210526
1/7610.00131406044678…
1/7630.00131061598951…
1/7680.001302083
1/7690.00130039011703…
1/7700.0012987
1/7710.00129701686121…

FAQ

What is 1/742 as a decimal?

Fraction 1/742 as a decimal is 0.00134770889487…

How do you convert 1/742 to a decimal?

To convert 1/742 to a decimal, divide the numerator by the denominator: 1 ÷ 742 ≈ 0.0013.

Why is 1/742 a repeating decimal?

In lowest terms its denominator 742 = 2 × 7 × 53 has the prime factor 7, 53, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/742 as a percent?

Multiply by 100: 1/742 ≈ 0.13%.

See Also