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Phoenix [80]
3 years ago
11

Can someone help me out with this please? I suck at fractions

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

164 inches x \frac{1 foot}{12 inches} = \frac{41}{3}ft

147 inches x \frac{1 foot}{12 inches} = \frac{49}{4}ft

2\frac{1}{4}ft = \frac{9}{4}

Perimeter = 2L + 2w - 1doorway

                 = 2(\frac{41}{3}) + 2((\frac{49}{4}) - \frac{9}{4}

                = \frac{82}{3} + \frac{98}{4} - \frac{9}{4}

                = \frac{82}{3} + \frac{89}{4}

                 = (\frac{4}{4} )\frac{82}{3} + (\frac{3}{3} )\frac{89}{4}

                 = \frac{328}{12} + \frac{267}{12}

                 = \frac{595}{12}

                = 49\frac{7}{12}ft

******************************************************************************

b) 49\frac{7}{12}ft ÷ 8ft = 6.2

7 boards need to be purchased

                 

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Answer:

<em><u>3.5 : 7 > 1.2 : 2.5.</u></em>

Step-by-step explanation:

1. Compare the ratios 4 : 5 and 2 : 3.

Solution:

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.

2. Compare the ratios 5 : 6 and 7 : 9.

Solution:

Express the given ratios as fraction

5 : 6 = 5/6 and 7 : 9 =7/9

Now find the L.C.M (least common multiple) of 6 and 9

The L.C.M (least common multiple) of 6 and 9 is 18.

Making the denominator of each fraction equal to 18, we have

5/6 = (5 ×3)/(6 ×3) = 15/18 and 7/9 = (7 ×2)/(9 ×2) = 14/18

Clearly, 15 > 14

Now, 15/18 > 14/18

Therefore, 5 : 6 > 7 : 9.

3. Compare the ratios 1.2 : 2.5 and 3.5 : 7.

Solution:

1.2 : 2.5 = 1.2/2.5 and 3.5 : 7 =3.5/7

1.2/2.5 = (1.2 ×10)/(2.5 ×10 ) = 12/25 and 3.5/7 = (3.5 ×10)/(7 ×10) = 35/70 = 1/2

[We removed the decimal point from the ratios now, we will compare the ratio]

Now find the L.C.M (least common multiple) of 25 and 2

The L.C.M (least common multiple) of 25 and 2 is 50.

Making the denominator of each fraction equal to 50, we have

= 12/25 = (12 ×2)/(25 ×2) = 24/50 and 1/2 = (1 ×25)/(2 ×25) = 25/50

Now, 25/50 > 24/50

Therefore, 3.5 : 7 > 1.2 : 2.5.

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