Question

Приведи дроби к наименьшему общему знаменателю: а) 3/4 и 1/8; б) 4/3 и 5/6; в) 2/5 и 3/4; г)6/7 и 1/3; д)2/15 и 3/10; е) 3/4 и 9/25 Помогите срочно!!!!!!!!!!!!

Answer 1

Чтобы привести дроби к общему знаменателю нужно выбрать такое число которое бы делилось на оба знаменателя .например для 4 и  8 которые являются знаменателями первой пары дробей  это 8 т.к 8 делится                  и на 4 и на 8. для 3 и 6 это 6.   для 5 и 4  это 20 т.к 20 это наименьшее число которое делится и на 4 и на 5.Для 7 и 3  это 21 .Для 15 и 10 это 30
для 4 и 25  это 100.чтобы найти общий знаменатель  можно эти знаменатели перемножить и полученное число будет общим знаменателем

Answer 2

a) 3/4 and 1/8

To find the least common denominator (LCD) for 3/4 and 1/8, we need to find the smallest number that both 4 and 8 divide into evenly. The LCD is 8.

To convert 3/4 to an equivalent fraction with a denominator of 8, we multiply both the numerator and denominator by 2: 3/4 * 2/2 = 6/8.

Therefore, the fractions 3/4 and 1/8 can be expressed with a common denominator of 8 as follows: 3/4 = 6/8 and 1/8 = 1/8.

b) 4/3 and 5/6

To find the least common denominator (LCD) for 4/3 and 5/6, we need to find the smallest number that both 3 and 6 divide into evenly. The LCD is 6.

To convert 4/3 to an equivalent fraction with a denominator of 6, we multiply both the numerator and denominator by 2: 4/3 * 2/2 = 8/6.

Therefore, the fractions 4/3 and 5/6 can be expressed with a common denominator of 6 as follows: 4/3 = 8/6 and 5/6 = 5/6.

c) 2/5 and 3/4

To find the least common denominator (LCD) for 2/5 and 3/4, we need to find the smallest number that both 5 and 4 divide into evenly. The LCD is 20.

To convert 2/5 to an equivalent fraction with a denominator of 20, we multiply both the numerator and denominator by 4: 2/5 * 4/4 = 8/20.

To convert 3/4 to an equivalent fraction with a denominator of 20, we multiply both the numerator and denominator by 5: 3/4 * 5/5 = 15/20.

Therefore, the fractions 2/5 and 3/4 can be expressed with a common denominator of 20 as follows: 2/5 = 8/20 and 3/4 = 15/20.

d) 6/7 and 1/3

To find the least common denominator (LCD) for 6/7 and 1/3, we need to find the smallest number that both 7 and 3 divide into evenly. The LCD is 21.

To convert 6/7 to an equivalent fraction with a denominator of 21, we multiply both the numerator and denominator by 3: 6/7 * 3/3 = 18/21.

To convert 1/3 to an equivalent fraction with a denominator of 21, we multiply both the numerator and denominator by 7: 1/3 * 7/7 = 7/21.

Therefore, the fractions 6/7 and 1/3 can be expressed with a common denominator of 21 as follows: 6/7 = 18/21 and 1/3 = 7/21.

e) 3/4 and 9/25

To find the least common denominator (LCD) for 3/4 and 9/25, we need to find the smallest number that both 4 and 25 divide into evenly. The LCD is 100.

To convert 3/4 to an equivalent fraction with a denominator of 100, we multiply both the numerator and denominator by 25: 3/4 * 25/25 = 75/100.

To convert 9/25 to an equivalent fraction with a denominator of 100, we multiply both the numerator and denominator by 4: 9/25 * 4/4 = 36/100.

Therefore, the fractions 3/4 and 9/25 can be expressed with a common denominator of 100 as follows: 3/4 = 75/100 and 9/25 = 36/100.

Note: The fractions have been converted to equivalent fractions with a common denominator, but they have not been simplified. If you need to simplify the fractions further, you can divide both the numerator and denominator by their greatest common divisor (GCD).