Sure, let's break down the given problem step by step:
1. You are given the fractions [tex]\(\frac{5}{4}\)[/tex] and [tex]\(\frac{3}{4}\)[/tex].
2. Since both fractions have the same denominator (4), you can directly subtract the numerators.
3. Subtract the numerator of the second fraction (3) from the numerator of the first fraction (5):
[tex]\[
5 - 3 = 2
\][/tex]
4. The result of the subtraction will have the same denominator that the original fractions had, which is 4. Thus, the result of [tex]\(\frac{5}{4} - \frac{3}{4}\)[/tex] is:
[tex]\[
\frac{2}{4}
\][/tex]
5. Simplify the fraction [tex]\(\frac{2}{4}\)[/tex] by dividing the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}
\][/tex]
Thus, the final result is [tex]\(\frac{1}{2}\)[/tex] or expressed as a decimal:
[tex]\[
0.5
\][/tex]
So, [tex]\(\frac{5}{4} - \frac{3}{4} = 0.5\)[/tex].
In summary, [tex]\(\frac{5}{4}\)[/tex] is 1.25 and [tex]\(\frac{3}{4}\)[/tex] is 0.75, and their subtraction equals 0.5.
