Question

Сложение Вычитание смешанных чисел как решать объясните пожалуйста

Answer 1

Привести дробные части этих чисел к наименьшему общему знаменателю, отдельно сложить целые части и отдельно сложить дробные части если при сложении дробных частей получилась неправильная дробь (это когда числитель больше знаменателя) , выделить целую часть из этой дроби и прибавить ее к полученной целой части; сократить дробь которя получилась в итоге
Пример 1:
1 2/5 + 2 2/5=3 4/5 (сложение)
Пример 2:
5 4/5 - 3 2/5=2 2/5 (вычитание)
Пример 3:
8 5/7+6 3/7=14 8/7=15 1/7 (выделяем целую часть))

Answer 2

Solving Mixed Number Addition and Subtraction

To solve mixed number addition and subtraction, follow these steps:

Addition of Mixed Numbers:

1. Convert the mixed numbers to improper fractions: - To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The result becomes the new numerator, and the denominator remains the same.

Example: - Convert 3 1/4 to an improper fraction: - (3 * 4) + 1 = 13, so 3 1/4 as an improper fraction is 13/4.

2. Add the improper fractions: - Once both mixed numbers are converted to improper fractions, add the fractions together. Ensure the denominators are the same before adding the numerators.

Example: - Add 3 1/4 and 2 3/4: - Convert both to improper fractions: 3 1/4 = 13/4 and 2 3/4 = 11/4. - Add the fractions: 13/4 + 11/4 = 24/4 = 6.

3. Convert the result back to a mixed number: - If the result is an improper fraction, convert it back to a mixed number by dividing the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator, with the original denominator.

Example: - Convert 6 to a mixed number: - 6 ÷ 4 = 1 with a remainder of 2, so the result is 1 2/4, which simplifies to 1 1/2.

Subtraction of Mixed Numbers:

1. Convert the mixed numbers to improper fractions: - Follow the same process as in addition to convert the mixed numbers to improper fractions.

2. Subtract the improper fractions: - Once both mixed numbers are converted to improper fractions, subtract the second fraction from the first. Ensure the denominators are the same before subtracting the numerators.

Example: - Subtract 5 1/4 from 7 2/3: - Convert both to improper fractions: 5 1/4 = 21/4 and 7 2/3 = 23/3. - Subtract the fractions: 7 2/3 - 5 1/4 = 23/3 - 21/4.

3. Convert the result back to a mixed number: - If the result is an improper fraction, convert it back to a mixed number using the same process as in addition.

Example: - Convert the result of 23/3 - 21/4 to a mixed number.

These steps should help you solve both addition and subtraction of mixed numbers. If you have specific examples you'd like to work through, feel free to provide them for further explanation!