Answer:
3.50 : 200 = 7/400 = 0.0175
Step-by-step explanation:
Conversion a decimal number to a fraction: 3.5 = 35/10 = 7/2
a) Write down the decimal 3.5 divided by 1: 3.5 = 3.5/1
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.)
3.5/1 = 35/10
Note: 35/10 is called a decimal fraction.
c) Simplify and reduce the fraction
35/10 = 7 * 5/2 * 5 = * 5)" style="box-sizing: border-box; display: inline-block; text-align: center; vertical-align: middle; margin-left: 2px; margin-right: 2px; padding: 0px 5px;">7 * 5/2 * 57/2Divide: 3.5 / 200 = 7/2 · 1/200 = 7 · 1/2 · 200 = 7/400
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 200/1 is 1/200) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - seven halfs divided by two hundred = seven four-hundredths.
