Convert Mixed Number to Decimal: Solving 6 7/700

Question

67700= 6\frac{7}{700}=

Video Solution

Step-by-Step Solution

Let's solve the problem by converting 7700\frac{7}{700} into a decimal:

Step 1: Simplify 7700\frac{7}{700}:
Notice that the fraction can be simplified by dividing the numerator and the denominator by 7:
7÷7700÷7=1100\frac{7 \div 7}{700 \div 7} = \frac{1}{100}.

Step 2: Convert 1100\frac{1}{100} to a decimal:
Think of 1 penny, which is 1100\frac{1}{100} of a dollar, this is equal to 0.010.01.

Step 3: Add the whole number part to the decimal part derived:
The whole number part is 66, thus we express the mixed number 611006\frac{1}{100} as the decimal
6.016.01.

Therefore, the correct decimal representation of 67700 6\frac{7}{700} is 6.01 6.01 , which matches choice 2.

Answer

6.01 6.01