What is 76/75 Divided By 4/1

Answer: 7675÷41\frac{76}{75}\div\frac{4}{1} = 1975\frac{19}{75}

Solving 7675÷41\frac{76}{75}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

7675÷41=7675×14\frac{76}{75} \div \frac{4}{1} = \frac{76}{75} \times \frac{1}{4}

  • Multiply the Numerators: 76×1=7676 \times 1 = 76
  • Multiply the Denominators: 75×4=30075 \times 4 = 300
  • Form the New Fraction: 7675×41=76300\frac{76}{75} \times \frac{4}{1} = \frac{76}{300}

Let's Simplify 76300\frac{76}{300}

  • Find the Greatest Common Divisor (GCD) of 7676 and 300300. The GCD of 7676 and 300300 is 44.
  • Divide both the numerator and the denominator by the GCD:76÷4300÷4=1975\frac{76 \div 4}{300 \div 4} = \frac{19}{75}

Answer 7675÷41=1975\frac{76}{75}\div\frac{4}{1} = \frac{19}{75}


The following animation demonstrates the divide-by,

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