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beks73 [17]
2 years ago
12

Please I need help with this question!!

Mathematics
2 answers:
KIM [24]2 years ago
7 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{6 \frac{1}{12} \:  \:  \: inches}}}}}

Step-by-step explanation:

Total inches of a green ribbon = \sf{15 \frac{1}{2} }

<u>Finding</u><u> </u><u>the</u><u> </u><u>total </u><u>inches</u><u> </u><u>of </u><u>ribbon</u><u> </u><u>that</u><u> </u><u>she</u><u> </u><u>cut</u><u> </u><u>off</u>

\sf{2 \frac{3}{4}  + 6 \frac{2}{3} }

Convert the mixed number into an improper fraction

\dashrightarrow{ \sf{ \frac{2 \times 4 + 3}{4}  +  \frac{3 \times 6 + 2}{3}}}

\dashrightarrow{ \sf{ \frac{8 + 3}{4} +  \frac{18 + 2}{3} }}

\dashrightarrow{ \sf{ \frac{11}{4}  +  \frac{20}{3} }}

Take the L.C.M ( Least Common Multiple ) of 4 and 3

L.C.M = 4 and 3 = 12

\dashrightarrow{ \sf{ \frac{11 \times 3 + 20  \times 4}{12} }}

\dashrightarrow{ \sf{ \frac{33 + 80}{12}}}

\dashrightarrow{ \sf{ \frac{113}{12} }}

Total inches of ribbon that she cut off = 113/12

<u>Now</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>left</u><u> </u><u>inches</u><u> </u><u>of</u><u> </u><u>ribbon</u>

\sf{15 \frac{1}{2}  -  \frac{113}{12} }

Convert mixed number into improper fraction

\dashrightarrow{ \sf{ \frac{15 \times 2 + 1}{2}   -   \frac{113}{12} }}

\dashrightarrow {\sf{ \frac{31}{2}   -   \frac{113}{12} }}

Take the L.C.M of 2 and 12 , you will get 12

\dashrightarrow{ \sf{ \frac{31 \times 6  - 113}{2} }}

\dashrightarrow{ \sf{ \frac{186  -  113}{12}}}

\dashrightarrow{ \sf{ \frac{73}{12} }}

Convert the improper fraction into mixed number

\dashrightarrow{ \sf{6 \frac{1}{12} }} inches

Hope I helped!

Best regards! :D

nalin [4]2 years ago
5 0

[15 + 1/2 ] - [ 2 + 3/4 ] - [6 + 2/3 ]......convertng these to improper fractions, we have

[31 /2 ] - [11 / 4 ] - [ 20 / 3 ] getting a common denominator (12), we have

[186 / 12] - [33 / 12 ] - [ 80 / 12 ] = 73 / 12 inches = about 6.0833 inches left

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