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Slav-nsk [51]
4 years ago
5

ac{7}{8}" alt="5\frac{5}{12} -2\frac{7}{8}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
KengaRu [80]4 years ago
6 0

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

malfutka [58]4 years ago
3 0

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:

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