Question

Equivalent fraction with a denominator of 10, 100, or 1000 and a decimal for each.

a) 1/2
b) 3/5
c) 3/4
d) 7/20
e) 11/25
f) 7/8

Answer 1

Equivalent fractions with denominators of 10, 100, or 1000 for the given fractions are 5/10 (0.5) for 1/2, 6/10 (0.6) for 3/5, 75/100 (0.75) for 3/4, 35/100 (0.35) for 7/20, 44/100 (0.44) for 11/25, and 875/1000 (0.875) for 7/8. These are obtained by scaling the original fractions and converting them to decimal form.

Step-by-step explanation:

To find an equivalent fraction with a denominator of 10, 100, or 1000 and to express each as a decimal, we apply the concept that any fraction can be scaled up or down to achieve an equivalent value. Below are the equivalent fractions and their decimal representations:

• 1/2 = 5/10 = 0.5
• 3/5 = 6/10 = 0.6
• 3/4 = 75/100 = 0.75
• 7/20 = 35/100 = 0.35
• 11/25 = 44/100 = 0.44
• 7/8 = 875/1000 = 0.875

Here's how we can determine these:

1. Multiply the numerator and denominator by the same number to get the new denominator of 10, 100, or 1000.
2. Divide the numerator by the denominator to get the fraction as a decimal.

Remember that an equivalent fraction is a different way of expressing the same proportion of a whole, and converting fractions to decimals is simply another representation of that proportion.