Answer: " 1 lb , 14 oz. " .
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Step-by-step explanation:
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Note the exact conversion: " 16 oz. = 1 lb. " .
→ {that is: " 16 ounces = 1 pound " .}.
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30 oz. * ( 1 lb / 16 oz). = [tex]\frac{30}{16}[/tex] lbs. ;
= (30/2) / (16/2) lbs.
= (15 / 8) lbs. ;
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1
8 ┌ 15
- 8
7 ;
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The answer is equal to: " 1 7/8 lbs. " .
→ (1 lb) + (7/8) (lb). ;
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→ (7/8) lb. = how many "oz." ??
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Note the exact conversion: " 1 lb. = 16 oz. " .
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→ [tex]\frac{7 lb}{8}[/tex] * [tex]\frac{16 oz}{1 lb}[/tex] ;
= [tex]\frac{7}{8} * \frac{16}{1}[/tex] oz. ;
→ The "8" cancels to a "1" ; and the "16" cancels to a "2" ;
→ {since: " {16 ÷ 8 = 2 } " ;
and: {since: " {8 ÷ 8 = 1 } " .
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→ So we can rewrite as:
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→ [tex]\frac{7}{1} * \frac{2}{1}[/tex] oz. ;
= { 7 * 2 } oz. ;
= 14 oz.
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→ So:
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→ " 30 oz. " = " (1 lb) + (7/8) lb. " ;
= " 1 lb. + 14 oz. " ;
= " 1 lb , 14 oz. " .
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→ The answer is: " 1 lb , 14 oz. " .
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Let us check our answer:
→ Does: " 1 lb. + 14 oz. = ? 30 oz. ? " ;
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Note the exact conversion: " 1 lb. = 16 oz. " .
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→ Does: " 16 oz. + 14 oz. = ? 30 oz. ?? " ;
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₁
16 oz
+ 14 oz
30 oz.
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→ Does: " 30 oz. = ? 30 oz. ? " ??? ; → Yes!
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Hope this helps!
Best wishes to you in your academic endeavors
— and within the "Brainly" community!
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