To convert inches to yards, you will need to know the relationship between the two units of measurement. There are 36 inches in 1 yard. Now let's use dimensional analysis to convert 27 inches to yards.
Step 1: Start by writing the quantity you want to convert, which is 27 inches.
Step 2: Multiply 27 inches by a conversion factor that will cancel out "inches" and leave "yards." The conversion factor is based on the equivalence between inches and yards: 1 yard = 36 inches. To create our conversion factor, we take the reciprocal of this relationship since we want "inches" in the denominator and "yards" in the numerator so that the inches unit will cancel out.
Step 3: Set up the conversion so the units will cancel:
[tex]\[ 27\ \text{inches} \times \frac{1\ \text{yard}}{36\ \text{inches}} \][/tex]
Step 4: Multiply the numbers:
[tex]\[ 27 \times \frac{1}{36} = \frac{27}{36} \][/tex]
Step 5: Simplify the fraction if possible. In this case, 27 and 36 are both divisible by 9:
[tex]\[ \frac{27}{36} = \frac{27 \div 9}{36 \div 9} = \frac{3}{4} \][/tex]
Therefore, 27 inches is equal to [tex]\(\frac{3}{4}\)[/tex] yards.
