Question

Mercury Orbits the sun in 87 24/25 earth days. Venus Orbits the sun in 224 7/10 Earth days, and Mars Orbits the sun in 686 49/50 days. Write each mixed number as a decimal.

Answer 1

The correct answers are:

87.96; 224.7; 686.98.

Explanation:

In order to write these numbers as decimals, we need to convert the fractions to fractions with denominators of 10, 100, or 1000.

224 7/10 already has a denominator of 10; this makes it 224.7.

For 87 24/25, we can multiply the denominator by 4 to make 100.  Doing that means we need to multiply the numerator by 4 as well:

87 (24*4)/(25*4) = 87 96/100 = 87.96

For 686 49/50, we can multiply the denominator by 2 to make 100.  Doing that means we need to multiply the numerator by 2 as well:

686 (49*2)/(50*2) = 686 98/100 = 686.98

Answer 2

Mercury: 87 24/25
Venus 224 7/10
Mars 686 49/50

All we need to do is to convert fractions so they have a denominator of 10, 100, 1000 etc.

87 24/25 = 87 96/100
224 7/10 stays the same
686 49/50 = 686 98/100

Now we can easily convert them into decimals:

Mercury: 87.96
Venus: 224.7
Mars: 686.98