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Nuetrik [128]
2 years ago
6

Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3.4 inches. The second lengt

h is 12 1.4 inches. And the third length is 16 1.4 inches. How much of the original board remains after Katrina makes her cuts?
Mathematics
1 answer:
stich3 [128]2 years ago
8 0
Common denominators! 

<span>If you have to add... 3 fractions with 4 as the denominators: </span>
<span>Then you can combine the numerators: </span>

<span>a/c+ b/c = (a+b)/c and a/d + b/d + c/d = (a+b+c)/d </span>

<span>Let's plug in the numbers.</span>

<span>a=3, b=1, c=1, d =4 </span>
<span>3/4 + 1/4 + 1/4 = 5/4 or 1 1/4! </span>

<span>So the equation for the problem: </span>

<span>Lt = L1+ L2 + L3 + L4 or </span>
<span>L4 = Lt - L1 - L2 - L3 Plug in the numbers </span>

<span>L4 ( remains ) = L total, 72 - L1 ( first cut at 30 3/4 ) - L2 ( second cut 12 1/4 ) - L3 ( 16 1/4 ) </span>

<span>So 72 - 30 - 12 - 16 - 3/4 - 1/4 - 1/4 =? </span>
<span>( break this down into simple terms and do it in your head... </span>

<span>72 - 30 = 42, 42 - 21 = 30, 30 - 16 = 14, 14 - 3/4 = 13 1/4 - 1//4 = 13 - 1/4 = 12 3/4!</span>
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