Respuesta :
Answer:
1 5/8
Step-by-step explanation:
3/4 - -7/8
3/4 + 7/8
6/8 + 7/8
13/8 = 1 5/8
Answer:
1 5/8 or 13/8
Step-by-step explanation:
Remove parentheses.
[tex]\frac{3}{4}+\frac{7}{8}[/tex]
Find the Least Common Denominator (LCD) of [tex]\frac{3}{4},\frac{7}{8}[/tex] . In other words, find the Least Common Multiple (LCM) of 4,8.
Method 1: By Listing Multiples
List the multiples of each number.
Multiples of 4 : 4, 8, ...
Multiples of 8 : 8, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 8
Method 2: By Prime Factors
List the prime factors of each number
Prime Factors of 4 : 2, 2
Prime Factors of 8 : 2, 2, 2
Find the union of these primes.
2, 2, 2
Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.
LCM = 8
---> LCD = 8
Make the denominators the same as the LCD.
[tex]\frac{3\times 2}{4\times 2}+\frac{7}{8}[/tex]
Simplify. Denominators are now the same.
[tex]\frac{6}{8}+\frac{7}{8}[/tex]
Join the denominators.
[tex]\frac{6+7}{8}[/tex]
Simplify.
[tex]\frac{13}{8}[/tex]
Convert to mixed fraction.
[tex]1\frac{5}{8}[/tex]
