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Guidance on solving 4th-grade Math Page 170, exercises 1, 2, 3, 4 from the textbook. Providing answers, methods for solving Math on Page 170, helping students review knowledge of calculating sums, differences, products, quotients of fractions, finding unknown quantities such as the subtracted number, the subtracting number, the factor in fraction operations, and solving word problems.
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Guidance on solving 4th-grade Math Page 170 (Includes solving methods)
1. Solve Math Problem 1 on Page 170 from the textbook
Problem:
The first fraction is 4/5, and the second fraction is 2/7. Calculate the sum, difference, and quotient of the first fraction and the second fraction.
Solution Method:
- Apply knowledge of adding and subtracting two fractions, multiplying, and dividing two fractions as follows:
+ To add (or subtract) two fractions with the same denominator, add (or subtract) the numerators while keeping the denominator unchanged; to add (or subtract) two fractions with different denominators, find a common denominator and then add (or subtract) the fractions with the common denominator.
+ To multiply two fractions, multiply the numerators together and the denominators together.
+ To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.
- Apply the rule of simplifying fractions to find the reduced form of the solution
Answer:
2. Solve 4th-grade Math Page 170, Exercise 2
Problem:
Number ?
Solution Method:
a, - To find the difference of two fractions with different denominators, find a common denominator and subtract the numerators, keeping the denominator unchanged after finding a common denominator.
- To find the subtracted number, subtract the number to be subtracted from the sum of the two numbers.
- To find the unknown number, subtract the subtracted number from the result.
b, - To find the product of two fractions, multiply the numerators together and the denominators together.
- To find the unknown factor in fraction multiplication, divide the product by the known factor.
Answer:
3. Solve 4th-grade Math Review on Fraction Operations Page 170, Exercise 3 from the textbook
Problem:
Calculate:
Solution Method:
- For expressions involving only addition, subtraction, multiplication, or division of fractions, perform the operations from left to right following the usual rules for addition, subtraction, multiplication, and division of fractions.
- For expressions containing addition, subtraction, multiplication, and division of fractions, perform multiplication and division first, then addition and subtraction.
Answer:
4. Solve 4th-grade Math Exercise on Fraction Operations Page 170, Exercise 4 from the textbook
Task:
A water nozzle is directed into an empty pool; in the first hour, it fills 2/5 of the pool, and in the second hour, it fills another 2/5.
a) After 2 hours, how much of the pool has the water nozzle filled?
b) If a quantity of water equal to half of the pool is used, how much water is remaining in terms of the pool's capacity?
Solution Method:
a, Calculate the amount of water flowing into the pool after 2 hours = Water flowing in after the first hour + water flowing in after the second hour
b, Calculate the remaining water quantity in the pool = Water flowing into the pool after 2 hours - amount of water used
Answer:
