1.75 as a Fraction

Convert the decimal 1.75 to a fraction with step-by-step explanation.

Answer: 1.75 = \frac{7}{4}

Step-by-Step Solution

Step 1 Identify the Decimal

We need to convert 1.75 to a fraction.

This is a terminating decimal.

1.75 = ?

Step 2 Count Decimal Places

The decimal part is '75'

There are 2 digits after the decimal point.

The denominator will be 100

\text{Denominator} = 10^2 = 100

Step 3 Create the Fraction

Remove the decimal point and use the number as the numerator.

Numerator = 175, Denominator = 100

1.75 = \frac{175}{100}

Step 4 Simplify the Fraction

Find the GCF of 175 and 100: 25

Divide both by 25

\frac{175}{100} = \frac{7}{4}

Step 5 Final Answer

The decimal 1.75 as a fraction is 7/4

1.75 = \frac{7}{4}