Question

Choose the correct fraction and decimal equivalent for 78%.

Answer 1

Answer: 0.78 and 39/50

Explanation:

What we know:

• We need to find 78% as a fraction and decimal

How to solve:

The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.

Process:

Decimal

Set up equation                                                 D = p / 100

Substitute                                                           D = 78% / 100

Simplify                                                               D = 0.78%

Remove % sign                                                  D = 0.78

Fraction

Set up equation                                                 F = p / 100

Substitute                                                           F = 78% / 100

Remove % sign                                                  F = 78 / 100

Simplify if needed                                            F = /2    /2

                                                                           F = 39 / 50

Solution: 0.78 and 39/50

Check:

Multiply the decimal by 100 to check the decimal

0.78 x 100 = 78; 78%

Divide the fraction to check the fraction

39/50 = 0.78; see above

Answer 2

The two answers would be .78 and 39/50.