Question

ac{7}{8}" alt="5\frac{5}{12} -2\frac{7}{8}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}}$

Step-by-step explanation:

$\sf{5 \frac{5}{12} - 2 \frac{7}{8} }$

Convert the mixed number into improper fraction

$\longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}}$

$\longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}$

$\longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}}$

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

$\longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}$

$\longrightarrow{ \sf{ \frac{130 - 69}{24}}}$

$\longrightarrow{ \sf{ \frac{61}{24}}}$

Convert the improper fraction into mixed number

$\longrightarrow{ \sf{2 \frac{13}{24}}}$

Hope I helped!

Best regards! :D

Answer 2

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: