1. Turn a band fraction into a false fraction: use the product of the integer part and denominator plus the numerator as the numerator, and the denominator remains unchanged. For example, if the band fraction 3 2/3 becomes a false fraction, you can multiply 3 by the denominator 3 to get 9, and add the numerator 2 to get 1 1. As a new molecule, the denominator does not change to 3, and the false fraction is 1 1/3.
2. Addition and subtraction of integers and fractions: You can convert integers into fractions with the same denominator and fractions, and then add and subtract. For example, if you calculate 5+2/3, you can convert the integer 5 into 15/3 and add it to 2/3 to get 17/3.
3. Fraction addition and subtraction: first observe whether the denominator is the same. If they are the same, you can add and subtract molecules directly, and the denominator remains the same; If not, you need to divide, change the denominator to the same denominator, and then add and subtract the numerator. For example, if we calculate 1/2+ 1/3, we can find that the denominator is different. We need to divide the denominator by 6 and then add the molecules to get 5/6.
4. Fractional multiplication: directly multiply the numerator to get a new numerator, and multiply the denominator to get a new denominator. For example, if 2/3 is multiplied by 4/5, you can multiply 2 by 4 to get 8 as a new numerator, and multiply 3 by 5 to get 15 as a new denominator, and the result is 8/ 15.
The importance of learning mathematics;
1. Cultivate logical thinking ability: Mathematics is a subject that needs strict logical thinking. By studying mathematics, students' logical thinking ability can be cultivated. Logical thinking is an organized, well-founded and gradual way of thinking, which can help us better understand and solve problems. In the process of learning mathematics, students need to constantly use logical thinking to reason and prove mathematical theorems and formulas, so as to exercise their thinking ability.
2. Improve the ability to solve problems: Mathematics is a widely used subject, involving all aspects of life, such as physics, chemistry, economy and finance. By studying mathematics, students' ability to solve problems can be improved. Theorems and formulas in mathematics can be used to solve various practical problems, such as calculation, reasoning and optimization. In the process of learning mathematics, students need to constantly apply what they have learned to solve practical problems, thus improving their problem-solving ability.
3. Cultivate innovative spirit and creativity: Mathematics is a subject that needs constant innovation and discovery. By studying mathematics, students' innovative spirit and creativity can be cultivated. In the process of learning mathematics, students need to constantly explore new mathematical theories and problem-solving methods, so as to cultivate their innovative spirit. At the same time, mathematics also needs to constantly use creativity to discover and solve new mathematical problems. By studying mathematics, students can constantly improve their creativity and innovative spirit.