Welcome to the article Convert tex 8 frac 7 9 tex yards to inches A 26 3 in B 304 in C 316 in D 313 in E 280. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
To solve the problem of converting [tex]\(8 \frac{7}{9}\)[/tex] yards into inches, follow these steps:
1. Convert the mixed number to an improper fraction:
First, convert the mixed number [tex]\(8 \frac{7}{9}\)[/tex] into an improper fraction.
- Multiply the whole number (8) by the denominator (9):
[tex]\(8 \times 9 = 72\)[/tex]
- Add the numerator of the fraction part (7):
[tex]\(72 + 7 = 79\)[/tex]
- So [tex]\(8 \frac{7}{9}\)[/tex] yards is the same as [tex]\(\frac{79}{9}\)[/tex] yards.
2. Convert yards to inches:
- There are 36 inches in one yard. To convert from yards to inches, multiply the number of yards by 36.
- Calculate the equivalent inches:
[tex]\(\frac{79}{9} \times 36\)[/tex]
3. Compute the multiplication:
[tex]\(\frac{79 \times 36}{9} = \frac{2844}{9}\)[/tex]
4. Simplify the division to get the inches:
[tex]\(2844 \div 9 = 316\)[/tex]
So, [tex]\(8 \frac{7}{9}\)[/tex] yards is equal to 316 inches.
Therefore, the correct answer is 316 in.
1. Convert the mixed number to an improper fraction:
First, convert the mixed number [tex]\(8 \frac{7}{9}\)[/tex] into an improper fraction.
- Multiply the whole number (8) by the denominator (9):
[tex]\(8 \times 9 = 72\)[/tex]
- Add the numerator of the fraction part (7):
[tex]\(72 + 7 = 79\)[/tex]
- So [tex]\(8 \frac{7}{9}\)[/tex] yards is the same as [tex]\(\frac{79}{9}\)[/tex] yards.
2. Convert yards to inches:
- There are 36 inches in one yard. To convert from yards to inches, multiply the number of yards by 36.
- Calculate the equivalent inches:
[tex]\(\frac{79}{9} \times 36\)[/tex]
3. Compute the multiplication:
[tex]\(\frac{79 \times 36}{9} = \frac{2844}{9}\)[/tex]
4. Simplify the division to get the inches:
[tex]\(2844 \div 9 = 316\)[/tex]
So, [tex]\(8 \frac{7}{9}\)[/tex] yards is equal to 316 inches.
Therefore, the correct answer is 316 in.
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Rewritten by : Brahmana