What is 1 and 7/4 as a Decimal?

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What is 1 7/4 as a decimal?

Answer

Fraction 1 7/4 as a decimal is
2.75

Exact, terminating: denominator 4 = 2 × 2 has only 2s and 5s · 2 decimal places

1 7/4: whole part, then 7 ÷ 4

7 = 1 × 4 + 3: whole part 1 + 1 = 2, then divide the remainder 3

remainder×10= digit × 4 + new remainderdigit
3307 × 4 + 27
2205 × 4 + 05

The remainder reaches 0 after 2 steps → 0.75 ends.

2 + 0.75 = 2.75

See Also

Fraction to Decimal Conversion Table

FractionDecimal
1 7/42.75
1 7/81.875
1 7/91.7
1 7/101.7
1 7/111.63
1 7/121.583
1 7/131.538461
1 7/141.5
1 7/151.46
1 7/161.4375
1 7/171.4117647058823529
1 7/181.38
1 7/191.368421052631578947
1 7/201.35
1 7/1001.07

FAQ

What is 1 7/4 as a decimal?

Fraction 1 7/4 as a decimal is 2.75

How do you convert 1 7/4 to a decimal?

To convert 1 7/4 to a decimal, divide the numerator by the denominator, 7 ÷ 4 = 1.75, then add the whole part: 1 + 1.75 = 2.75.

Why is 1 7/4 a terminating decimal?

In lowest terms its denominator 4 = 2 × 2 has no prime factors other than 2 and 5, so the division ends after 2 decimal places: 1 7/4 = 2.75.

What is 1 7/4 as a percent?

Multiply by 100: 1 7/4 = 275%.