Sara wants to add 0.35 to 1/2
using fractions. Which fraction can she use for 0.35?
1/4
35/10
4/5
7/20
35/10
To find a fraction equivalent to 0.35, we need to represent 0.35 as a fraction with a denominator of 10 or a multiple of 10.
Since 0.35 can be written as 35/100, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
35 ÷ 5 = 7
100 ÷ 5 = 20
Therefore, the fraction equivalent to 0.35 is 7/20. So, Sara can use the fraction 7/20.
To determine which fraction can be used to represent 0.35, we need to find an equivalent fraction that has a denominator of 100. This is because 0.35 is equivalent to the fraction 35/100 when written with a denominator of 100.
Let's check the options:
1) 1/4: To convert 1/4 to a fraction with a denominator of 100, we can multiply both the numerator and denominator by 25. This gives us 25/100, which is not equal to 0.35.
2) 35/10: This fraction already has a denominator of 10, but we need one with a denominator of 100. To convert 35/10 to a fraction with a denominator of 100, we can multiply both the numerator and denominator by 10. This gives us 350/100, which is equivalent to 3.50, not 0.35.
3) 4/5: To convert 4/5 to a fraction with a denominator of 100, we can multiply both the numerator and denominator by 20. This gives us 80/100, which is not equal to 0.35.
4) 7/20: To convert 7/20 to a fraction with a denominator of 100, we can multiply both the numerator and denominator by 5. This gives us 35/100, which is equivalent to 0.35.
Therefore, Sara can use the fraction 7/20 to represent 0.35 when adding it to 1/2.