How long is 20 cm. in inches?

Q: How long is 20 cm. in inches?

The correct answer is: $7.874\text{ in}$ (approximately $7.87\text{ in}$) Explanation We use the exact conversion $1\text{ in} = 2.54\text{ cm}$ to convert centimeters to inches. Steps: Conversion factor: $1\text{ in} = 2.54\text{ cm}$ Set up the conversion: $$20\text{ cm}\times\frac{1\text{ in}}{2.54\text{ cm}}=\frac{20}{2.54}\text{ in}$$ Calculate: $$\frac{20}{2.54}\approx7.874015748\text{ in}\approx7.87\text{ in}$$ Therefore, 20 cm is about $7.87\text{ in}$ (roughly $7\frac{7}{8}\text{ in}$).

Q: What is 125% as a fraction?

The correct answer is: $\frac{5}{4}$ Explanation Percent means "per hundred", so convert 125% to a fraction by writing it over 100 and simplifying. Steps: First step: $$\frac{125}{100}$$ Second step (simplify by dividing numerator and denominator by 25): $$\frac{125\div25}{100\div25}=\frac{5}{4}$$ Final step (mixed number form): $$1\frac{1}{4}$$ Therefore, 125% = $\frac{5}{4}$ (which is also $1\frac{1}{4}$).

Q: Express 0.4375 as a fraction in the simplest form.

The correct answer is: $\frac{7}{16}$ Explanation We convert the decimal to a fraction and simplify. Steps: First write 0.4375 as a fraction with denominator 10000: $$0.4375=\frac{4375}{10000}$$ Divide numerator and denominator by their common factor 125: $$\frac{4375}{10000}=\frac{4375\div125}{10000\div125}=\frac{35}{80}$$ Reduce further by dividing both by 5: $$\frac{35}{80}=\frac{35\div5}{80\div5}=\frac{7}{16}$$ Therefore, 0.4375 in simplest fractional form is $\frac{7}{16}$.

Q: Write 3/4 divided by 2 in the fraction.

The correct answer is: $\frac{3}{8}$ Explanation You divide by 2 by multiplying by its reciprocal (which is $\frac{1}{2}$). Then multiply numerators and denominators and simplify if possible. Steps: Write division as multiplication by the reciprocal: $$\frac{3}{4}\div2=\frac{3}{4}\times\frac{1}{2}$$ Multiply numerators and denominators: $$\frac{3\times1}{4\times2}=\frac{3}{8}$$ The fraction is already in simplest form: $$\frac{3}{8}$$ Therefore, $\frac{3}{4}$ divided by $2$ equals $\frac{3}{8}$.

Q: What is 0.875 as a fraction?

The correct answer is: $\frac{7}{8}$ Explanation We convert the decimal to a fraction by writing it over a power of 10 and then simplifying. Steps: Write the decimal as a fraction: $0.875=\frac{875}{1000}$ Divide numerator and denominator by their greatest common divisor $125$: $$\frac{875}{1000}=\frac{875\div125}{1000\div125}=\frac{7}{8}$$ Final simplified fraction: $\frac{7}{8}$ Therefore, $0.875=\frac{7}{8}$.

Q: What is 7/16 as a decimal?

The correct answer is: $0.4375$ Explanation We convert the fraction $\frac{7}{16}$ to a decimal by making the denominator a power of 10. Steps: Multiply numerator and denominator by 625 to get denominator $10000$: $$\frac{7}{16}=\frac{7\times625}{16\times625}=\frac{4375}{10000}$$ Write the fraction with denominator $10000$ as a decimal: $$\frac{4375}{10000}=0.4375$$ (Check) Long division $7\div16=0.4375$ gives the same result. Therefore, $\frac{7}{16}=0.4375$.

Answer

100% (3 rated)

The correct answer is: $7.874\text{ in}$ (approximately $7.87\text{ in}$)

Explanation

We use the exact conversion $1\text{ in} = 2.54\text{ cm}$ to convert centimeters to inches.

Steps:

Conversion factor: $1\text{ in} = 2.54\text{ cm}$
Set up the conversion: $$20\text{ cm}\times\frac{1\text{ in}}{2.54\text{ cm}}=\frac{20}{2.54}\text{ in}$$
Calculate: $$\frac{20}{2.54}\approx7.874015748\text{ in}\approx7.87\text{ in}$$

Therefore, 20 cm is about $7.87\text{ in}$ (roughly $7\frac{7}{8}\text{ in}$).

What is 125% as a fraction?

Express 0.4375 as a fraction in the simplest form.

Write 3/4 divided by 2 in the fraction.

What is 0.875 as a fraction?

What is 7/16 as a decimal?

What is 1/2 as a decimal?

Define 1 : 1 ratio.

How to express 2 to the power of 5?