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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