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 $\frac{7}{16}$.
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 […]
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, $0.875=\frac{7}{8}$.
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, $\frac{7}{16}=0.4375$.
What is 1/2 as a decimal?
The correct answer is: $0.5$ Explanation To convert the fraction $\tfrac{1}{2}$ to a decimal, divide the numerator by the denominator. Steps: First step: $$1 \div 2$$ Second step: Write $1$ as $1.0$ to perform decimal division: $$1.0 \div 2$$ Final step: $$1.0 \div 2 = 0.5$$ Therefore, $\tfrac{1}{2}$ as a decimal is $0.5$.
Define 1 : 1 ratio.
A 1:1 ratio means the two quantities are equal — one part for the first quantity for every one part of the second. Explanation In ratio notation, $1:1$ means the first quantity divided by the second equals 1: $1:1=\frac{1}{1}=1$. It indicates equal proportions: for every 1 unit of A there is 1 unit of B. […]
How to express 2 to the power of 5?
The correct answer is: $32$ Explanation $2^5$ means 2 raised to the power of 5, i.e., multiply 2 by itself five times. Steps: First step: $$2^5$$ Second step: $$2\times2\times2\times2\times2$$ Final step: $$32$$ Therefore, $2^5 = 32$.
2/3 x 2/3 as a Fraction
The correct answer is: $\frac{4}{9}$ Explanation Multiply the numerators and multiply the denominators. Then simplify if possible. Steps: Multiply numerators: $$2 \times 2 = 4$$ Multiply denominators: $$3 \times 3 = 9$$ Combine into a fraction and simplify if needed: $$\frac{2}{3}\times\frac{2}{3}=\frac{4}{9}$$ Therefore, $ \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} $. (This fraction is already in simplest […]
What is 10 to the power of negative 3?
The correct answer is: $0.001$ Explanation Negative exponents mean “reciprocal of the positive exponent.” So $10^{-3}$ means one divided by $10^3$. Steps: Write the reciprocal form: $$10^{-3} = \frac{1}{10^3}$$ Evaluate the positive power: $$10^3 = 1000$$ Compute the fraction: $$\frac{1}{1000} = 0.001$$ Therefore, $10^{-3} = 0.001$.
What is 5/8 as a decimal?
The correct answer is: $0.625$ Explanation We convert the fraction $\tfrac{5}{8}$ to a decimal. Steps: Multiply numerator and denominator by $125$ to get a denominator of $1000$: $$\frac{5}{8}=\frac{5\times125}{8\times125}=\frac{625}{1000}$$ Convert $\tfrac{625}{1000}$ to a decimal: $$\frac{625}{1000}=0.625$$ Therefore, $\tfrac{5}{8}=0.625$.