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Evaluate. (5)/(4)÷(3)/(5)=

Evaluate.\newline54÷35= \frac{5}{4} \div \frac{3}{5}=

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Full solution

Q. Evaluate.\newline54÷35= \frac{5}{4} \div \frac{3}{5}=
  1. Problem Understanding: Understand the problem.\newlineWe need to divide the fraction (54)(\frac{5}{4}) by another fraction (35)(\frac{3}{5}). In mathematical terms, this is written as (54)÷(35)(\frac{5}{4}) \div (\frac{3}{5}).
  2. Dividing Fractions: Recall how to divide fractions.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of (35)(\frac{3}{5}) is (53)(\frac{5}{3}).
  3. Setting up the Multiplication: Set up the multiplication.\newlineNow we rewrite the division as a multiplication: (54)×(53)(\frac{5}{4}) \times (\frac{5}{3}).
  4. Multiplying the Numerators: Multiply the numerators.\newlineMultiply the numerators (top numbers) of the fractions: 5×5=255 \times 5 = 25.
  5. Multiplying the Denominators: Multiply the denominators.\newlineMultiply the denominators (bottom numbers) of the fractions: 4×3=124 \times 3 = 12.
  6. Writing the Result as a Fraction: Write the result as a fraction.\newlineThe result of the multiplication is the fraction (2512)(\frac{25}{12}).
  7. Simplifying the Fraction: Simplify the fraction if necessary.\newlineThe fraction (2512)(\frac{25}{12}) is already in its simplest form, so no further simplification is needed.

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