12.5%÷48

Convert the percentage to a fraction by placing the expression over 100. Percentage means ‘out of 100’.

12.5÷48100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are 2 numbers to the right of the decimal point, move the decimal point 2 places to the right.

12504810000

Cancel the common factor of 1250 and 48.

Factor 2 out of 1250.

2(625)4810000

Cancel the common factors.

Factor 2 out of 48.

2⋅6252⋅2410000

Cancel the common factor.

2⋅6252⋅2410000

Rewrite the expression.

6252410000

6252410000

6252410000

Multiply the numerator by the reciprocal of the denominator.

62524⋅110000

Cancel the common factor of 625.

Factor 625 out of 10000.

62524⋅1625(16)

Cancel the common factor.

62524⋅1625⋅16

Rewrite the expression.

124⋅116

124⋅116

Multiply 124 and 116.

124⋅16

Multiply 24 by 16.

1384

1384

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.00260416…

Convert to a Decimal (12.50%)÷48