The correct answer is: $5\frac{7}{12}\text{ ft}\ (5.583333\text{ ft, approx})$ Explanation We convert inches to feet using $1\text{ ft}=12\text{ in}$. Steps: Write the conversion: $$\text{feet}=\frac{67\text{ in}}{12\text{ in/ft}}$$ Divide to get a mixed number: $$\frac{67}{12}=5+\frac{7}{12}=5\frac{7}{12}\text{ ft}$$ Decimal approximation: $$5\frac{7}{12}=5+0.583333\ldots\approx5.583333\text{ ft}$$ Therefore, 67 inches = $5\frac{7}{12}\text{ ft}$, about $5.583333\text{ ft}$.

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5/8 as a decimal

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5/8 as a decimal

Q: 5/8 as a decimal

The correct answer is: $0.625$ Explanation Convert the fraction to a decimal by either dividing or rewriting the fraction with denominator 1000. Here we rewrite by multiplying numerator and denominator so the denominator becomes 1000, which makes the decimal immediate. Steps: First step: $$\frac{5}{8}=5\div8$$ Second step: $$\frac{5\times125}{8\times125}=\frac{625}{1000}$$ Final step: $$\frac{625}{1000}=0.625$$ Therefore, $5/8=0.625$.

Q: How to Convert a Number into Fraction

The direct answer: Express the number as a ratio of two integers (a fraction). For decimals, clear the decimal by multiplying by a power of 10; for repeating decimals use an algebraic subtraction trick; for mixed numbers convert to an improper fraction. Irrational numbers (like $\pi$ or $\sqrt2$) cannot be written exactly as fractions. Explanation & Steps 1) Whole numbers Any whole number $n$ is $n/1$. 2) Terminating decimals (finite decimal places) Count the number of decimal digits $d$. Multiply by $10^d$ to remove the decimal, then divide by $10^d$ and simplify. Example: Convert $2.75$. $2.75 \times 100 = 275$ so $2.75 = \dfrac{275}{100}$. Simplify by $\gcd(275,100)=25$: $$\dfrac{275}{100}=\dfrac{11}{4}.$$ 3) Repeating decimals (periodic) Let $x$ be the repeating decimal. Multiply $x$ by a power of 10 to align one full repeat, then by a larger power so subtraction eliminates the repeating part. Example: $x=0.\overline{36}=0.363636\ldots$ Multiply by $100$: $100x=36.3636\ldots$ Subtract: $100x-x=36.3636\ldots-0.3636\ldots$ So $99x=36$, hence $$x=\dfrac{36}{99}=\dfrac{4}{11}.$$ Example: $0.\overline{6}$ $x=0.\overline{6}$, $10x=6.\overline{6}$, subtract: $9x=6$ so $$x=\dfrac{6}{9}=\dfrac{2}{3}.$$ General method for a decimal with non-repeating part $a$ (length $m$) and repeating block $b$ (length $n$):$$x=\frac{\text{integer formed by }(a\text{ then }b)-\text{integer formed by }(a)}{10^{m+n}-10^{m}}.$$ 4) Mixed numbers Convert $W\ \frac{p}{q}$ to improper fraction:$$W+\frac{p}{q}=\frac{Wq+p}{q}.$$ Example: $2\ \frac{3}{5}=\frac{2\cdot5+3}{5}=\frac{13}{5}$. 5) Simplify using GCD Always divide numerator and denominator by their greatest common divisor. Important note Irrational numbers cannot be exactly written as fractions — you can only give rational approximations (e.g., $\pi\approx\dfrac{22}{7}$). If you have a particular number you want converted, tell me the number and I’ll convert it step-by-step.

Q: Fraction of a Decimal

I’m not sure what you mean — do you mean (A) convert a decimal to a fraction, (B) find a fraction of a decimal (like “3/4 of 0.8”), or (C) convert a fraction to a decimal? Please tell me which or give a specific number. Quick explanations and examples A — Convert a decimal to a fraction Example: $0.75$ Steps: $0.75=\frac{75}{100}$, simplify by $25$: $\frac{75}{100}=\frac{3}{4}$. B — Find a fraction of a decimal Example: "Find $\frac{3}{4}$ of $0.8$" Steps: $\frac{3}{4}\times0.8=\frac{3}{4}\times\frac{8}{10}=\frac{24}{40}=\frac{3}{5}=0.6$. C — Convert a fraction to a decimal Example: $\frac{3}{8}$ → divide $3\div8=0.375$, so $\frac{3}{8}=0.375$. Tell me which of A/B/C you want (or give the specific decimal/fraction) and I’ll show full step-by-step work.

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Answer

The correct answer is: $0.625$

Explanation

Convert the fraction to a decimal by either dividing or rewriting the fraction with denominator 1000. Here we rewrite by multiplying numerator and denominator so the denominator becomes 1000, which makes the decimal immediate.

Steps:

First step: $$\frac{5}{8}=5\div8$$
Second step: $$\frac{5\times125}{8\times125}=\frac{625}{1000}$$
Final step: $$\frac{625}{1000}=0.625$$

Therefore, $5/8=0.625$.

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