Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{5 \frac{5}{12} - 2 \frac{7}{8} }[/tex]
Convert the mixed number into improper fraction
[tex] \longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}} [/tex]
Take the L.C.M of 12 and 8
To find out the L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
8 = 2 × 2 × 2
Take out the common prime factors : 2 and 2
Also, take out the remaining prime factors: 3 and 2
Multiply those all prime factors and obtain L.C.M
= 2 × 2 × 3 × 2 = 24
L.C.M. of 12 and 8 = 24
[tex] \longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{130 - 69}{24}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{61}{24}}} [/tex]
Convert the improper fraction into mixed number
[tex] \longrightarrow{ \sf{2 \frac{13}{24}}} [/tex]
Hope I helped!
Best regards! :D
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61/24
Decimal Form:
2.5416
Mixed Number Form:
2 13/24
Step-by-step explanation:
