Understanding Fractions Closest to One-Half

The video tutorial explains how to determine which fraction is closest to one-half without using a calculator. It introduces a method of expressing each fraction as a sum of two fractions with the same denominator, where the first fraction equals one-half. By comparing the second fractions, the tutorial identifies the fraction with the smallest second fraction as the closest to one-half. The process involves comparing denominators and multiplying fractions to find the smallest value, concluding that 7/13 is the closest fraction to one-half.

What is the initial step in determining which fraction is closest to one-half?

• Compare the numerators of the fractions.

• Find the least common multiple of the denominators.

• Express each fraction as a sum of two fractions with the same denominator.

• Use a calculator to find the decimal values.

Why is the fraction with the largest denominator in the second fraction considered the smallest?

• Because it has the smallest numerator.

• Because it has the largest numerator.

• Because it is closer to zero.

• Because it is closer to one.

What is the significance of multiplying 0.5/13 by 2/2 in the final comparison?

• To convert it into a whole number.

• To make it easier to compare with 1/16.

• To find the exact value of 7/13.

• To simplify the fraction.

Which fraction is determined to be closest to one-half?

• 5/8

• 1/3

• 7/13

• 3/4

What method is used to conclude that 7/13 is the closest fraction to one-half?

• Comparing the decimal values of all fractions.

• Using a calculator to find the exact values.

• Comparing the second fractions of the sums.

• Finding the least common denominator.