To convert the decimal 1.75 into a fraction, we first note that it can be expressed as:
1.75 = 1 + 0.75
Next, we can convert 0.75 into a fraction. The decimal 0.75 means 75 hundredths, or:
0.75 = 75/100
Now, we can simplify the fraction 75/100. Both the numerator and denominator can be divided by 25:
75 ÷ 25 = 3
100 ÷ 25 = 4
So, 0.75 = 3/4.
Now, we can combine this back into our original equation:
1.75 = 1 + 3/4
To express 1 as a fraction, we convert it into 4/4. Thus:
1.75 = 4/4 + 3/4
This simplifies to:
1.75 = 4 + 3/4 = 7/4
Therefore, the decimal 1.75 as a fraction is 7/4.