Question

3/70+7/50=24/25:4целых9/15=​

Answer 1

Ответ:

первое 32/175

второе 18/125

Answer 2

To solve this expression, let's break it down step by step:

1. Calculate 3/70 + 7/50: To add fractions, you need a common denominator. In this case, the common denominator is 350 (the least common multiple of 70 and 50).

   • Convert 3/70 to an equivalent fraction with a denominator of 350: (3/70) * (5/5) = 15/350
   • Convert 7/50 to an equivalent fraction with a denominator of 350: (7/50) * (7/7) = 49/350

   Now add the fractions: 15/350 + 49/350 = 64/350

2. Simplify 64/350: Divide both the numerator and denominator by their greatest common divisor, which is 2.

   • 64 ÷ 2 = 32
   • 350 ÷ 2 = 175

   So, 64/350 simplifies to 32/175.

3. Calculate 24/25: This fraction is already in simplified form.

4. Divide 32/175 by 24/25: When dividing fractions, you can multiply by the reciprocal of the second fraction.

   • (32/175) ÷ (24/25) = (32/175) * (25/24)
   • Multiply the numerators: 32 * 25 = 800
   • Multiply the denominators: 175 * 24 = 4200

   So, (32/175) ÷ (24/25) = 800/4200.

5. Simplify 800/4200: Divide both the numerator and denominator by their greatest common divisor, which is 200.

   • 800 ÷ 200 = 4
   • 4200 ÷ 200 = 21

   So, 800/4200 simplifies to 4/21.

6. Adding the Whole Number and Fraction: Now, let's add the whole number and the simplified fraction.

   • 4 + 9/15 = 4 + (9/15) * (1/1) = 4 + 9/15

   Since 9 and 15 have a common divisor of 3, we can simplify the fraction:

   • 9 ÷ 3 = 3
   • 15 ÷ 3 = 5

   So, 9/15 simplifies to 3/5.

   Now, the expression becomes: 4 + 3/5 = 4 3/5.

So, the final result of the expression is 4 3/5.