Fraction decimal and ratio 5 questions test
Sure, I can help you with a fraction, decimal, and ratio test. Please provide me with the questions, and I'll do my best to guide you through finding the answers.
Q1: Convert the fraction 3/4 into a decimal.
To convert a fraction into a decimal, divide the numerator (the top number) by the denominator (the bottom number). In this case, divide 3 by 4.
3 ÷ 4 = 0.75
So, the fraction 3/4 is equal to 0.75 as a decimal.
Q2: Convert the decimal 0.6 into a fraction.
To convert a decimal into a fraction, count the number of decimal places (in this case, one decimal place) and put the decimal number over the appropriate power of 10. In this case, the decimal is 0.6, so we put it over 10.
0.6 = 6/10
Next, simplify the fraction if possible by dividing the numerator and denominator by their greatest common factor (GCF). In this case, both 6 and 10 can be divided by 2.
6 ÷ 2 = 3
10 ÷ 2 = 5
So, the decimal 0.6 is equal to 3/5 as a fraction.
Q3: Simplify the ratio 12:18.
To simplify a ratio, divide both numbers by their GCF. In this case, the GCF of 12 and 18 is 6.
12 ÷ 6 = 2
18 ÷ 6 = 3
So, the simplified ratio of 12:18 is 2:3.
Q4: Convert the fraction 5/8 into a decimal.
To convert a fraction into a decimal, divide the numerator by the denominator. In this case, divide 5 by 8.
5 ÷ 8 ≈ 0.625
So, the fraction 5/8 is approximately equal to 0.625 as a decimal.
Q5: Convert the decimal 0.85 into a ratio.
To convert a decimal into a ratio, we need to find two whole numbers that are equivalent to the decimal. One way to do this is to multiply the decimal by 100 to move the decimal point two places to the right.
0.85 * 100 = 85
So, the decimal 0.85 can be represented as the ratio 85:100. To simplify the ratio, divide both numbers by their GCF, which is 5.
85 ÷ 5 = 17
100 ÷ 5 = 20
Therefore, the simplified ratio for the decimal 0.85 is 17:20.