Answer:

1.

SOLUTION:

0.4 ÷128 = 1/320

ANSWER:

= 0.003125

2.

SOLUTION:

0.7 ÷ 294 = 1/420

ANSWER:

≅ 0.002380952

3.

SOLUTION:

0.9 ÷3627 = 1/4030

ANSWER:

≅ 0.000248139

4.

SOLUTION:

0.6 ÷ 516 = 1/860

ANSWER:

≅ 0.001162791

5.

SOLUTION:

0.8 ÷ 9128 = 1/11410

ANSWER:

≅ 8.764242×10-5

EXAMPLE:

How do you solve fractions step by step?

Conversion a decimal number to a fraction: 0.8 = 8/

10

= 4/

5

a) Write down the decimal 0.8 divided by 1: 0.8 = 0.8/

1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

0.8/

1

= 8/

10

Note: 8/

10

is called a decimal fraction.

c) Simplify and reduce the fraction

8/

10

= 4 * 2/

5 * 2

= 4 * 2/

5 * 2

= 4/

5

Divide: 0.8 / 9128 = 4/

5

· 1/

9128

= 4 · 1/

5 · 9128

= 4/

45640

= 4 · 1/

4 · 11410

= 1/

11410

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9128/

1

is 1/

9128

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 4 gives 1/

11410

.

In words - four fifths divided by nine thousand one hundred twenty-eight = one over eleven thousand four hundred ten.

#CarryOnLearning^_^