Answer :
To solve the problem [tex]\(\frac{3}{4} + \frac{1}{8}\)[/tex], follow these steps:
1. Find a Common Denominator:
Since the denominators are 4 and 8, the common denominator should be a multiple of both. The least common multiple (LCM) of 4 and 8 is 8.
2. Convert Fractions to a Common Denominator:
- For the fraction [tex]\(\frac{3}{4}\)[/tex]:
To convert [tex]\(\frac{3}{4}\)[/tex] to a fraction with a denominator of 8, multiply both the numerator and the denominator by 2:
[tex]\[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \][/tex]
- The fraction [tex]\(\frac{1}{8}\)[/tex] already has a denominator of 8, so it remains [tex]\(\frac{1}{8}\)[/tex].
3. Add the Fractions:
With both fractions now having a common denominator of 8, add the numerators while keeping the denominator the same:
[tex]\[ \frac{6}{8} + \frac{1}{8} = \frac{6 + 1}{8} = \frac{7}{8} \][/tex]
4. Convert the Result to Decimal Form:
To express [tex]\(\frac{7}{8}\)[/tex] as a decimal, divide the numerator by the denominator:
[tex]\[ \frac{7}{8} = 0.875 \][/tex]
Therefore, [tex]\(\frac{3}{4} + \frac{1}{8} = 0.875\)[/tex].
1. Find a Common Denominator:
Since the denominators are 4 and 8, the common denominator should be a multiple of both. The least common multiple (LCM) of 4 and 8 is 8.
2. Convert Fractions to a Common Denominator:
- For the fraction [tex]\(\frac{3}{4}\)[/tex]:
To convert [tex]\(\frac{3}{4}\)[/tex] to a fraction with a denominator of 8, multiply both the numerator and the denominator by 2:
[tex]\[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \][/tex]
- The fraction [tex]\(\frac{1}{8}\)[/tex] already has a denominator of 8, so it remains [tex]\(\frac{1}{8}\)[/tex].
3. Add the Fractions:
With both fractions now having a common denominator of 8, add the numerators while keeping the denominator the same:
[tex]\[ \frac{6}{8} + \frac{1}{8} = \frac{6 + 1}{8} = \frac{7}{8} \][/tex]
4. Convert the Result to Decimal Form:
To express [tex]\(\frac{7}{8}\)[/tex] as a decimal, divide the numerator by the denominator:
[tex]\[ \frac{7}{8} = 0.875 \][/tex]
Therefore, [tex]\(\frac{3}{4} + \frac{1}{8} = 0.875\)[/tex].
