Concept: Fractional unit is a mathematical term. Divide the unit "1" into several parts, and take one part, which is called decimal unit. That is, the numerator is 1, and the denominator is a positive integer fraction, also called unit fraction, which is called 1/n, and the unit fraction is also called "monomolecular fraction" and "Egyptian fraction".

Meaning: In the score, the horizontal line in the middle is called the dividing line; The number below the fractional line is called the denominator, indicating how many copies the unit "1" is divided into on average; The number above the fractional line is called numerator, indicating how many copies there are.

Extended data

Fractional comparison

1, same denominator fraction: two fractions have the same denominator, and the fraction with larger numerator is larger.

2. Same molecular score: the score with the same two molecules, and the score with the smaller denominator is larger.

3. Fractions with different numerators and denominators: Divide them into fractions with the same mother number and compare them. You can also divide each fraction into decimals before comparing sizes.

4. Use fractions: compare the integer parts first, and the fraction with the larger integer part will be larger. If the integer parts are the same, then compare their scores, and the one with the bigger score will be the bigger one.

5. False scores: Make false scores into fractions or integers, and then compare the sizes.

The formula is a fraction with two identical molecules, the fraction with a small denominator is larger, and the fraction with a large denominator is smaller; Two fractions with the same denominator, the fraction with large numerator is large, and the fraction with small numerator is small. Unify denominator to numerator, unify numerator to denominator, convert it into reciprocal for comparison, or compare it by quotient.

The denominator is greater than the numerator, and the larger the numerator, the greater the score; The numerator is bigger than the denominator, the denominator is bigger, but the score is smaller; Molecules with different denominators, general points and comparisons.

Relevant examples of the meaning of fractions

Divide nine peaches into four children's hands, then each child can share these peaches and each child can get a peach.

Answer: $ frac {1} {4} $; $frac{9}{4}$

Analysis: With 9 peaches as the unit 1, each child gets $frac{ 1}{4}$ of these peaches, that is, $frac{9}{4}$ peaches.