Convert 1 3/4 to Improper Fraction

Convert the mixed number 1 3/4 to an improper fraction with step-by-step explanation.

Answer: 1 3/4 = \frac{7}{4}
Step-by-Step Solution
Step 1 Identify the Mixed Number

We have the mixed number: 1 3/4

This means 1 whole units plus 3/4 of another unit.

To convert to an improper fraction, we need to express everything with the same denominator.

1\frac{3}{4} = ?
Step 2 Convert the Whole Number

First, convert the whole number 1 to a fraction with denominator 4.

1 = 1 ร— 4/4 = 4/4
1 = \frac{4}{4}
Step 3 Add the Fractions

Now add the two fractions:

4/4 + 3/4 = 7/4
\frac{4}{4} + \frac{3}{4} = \frac{7}{4}
Step 4 Final Answer

The improper fraction is 7/4

1\frac{3}{4} = \frac{7}{4}