Question

(7/10-2/5)х(1/4+5/6): 6 1/2

Answer 1

Ответ:

(7/10-2/5)х(1/4+5/6): 6 1/2 = 1/20 = 0,05

Пошаговое объяснение:

(7/10-2/5)х(1/4+5/6): 6 1/2

1) 7/10-2/5=7/10-4/10=3/10

2) 1/4+5/6=3/12+10/12=13/12

3)3/10*13/12=13/40

4)13/40:6 1/2=13/40: 13/2=13/40*2/13=1/20=0,05

Answer 2

To solve this expression, follow the order of operations, which is typically abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, you have multiplication and division within parentheses, and then division by a mixed number.

Let's break it down step by step:

1. Start with the multiplication and division within parentheses:

   (7/10 - 2/5) * (1/4 + 5/6)

   First, simplify the expressions within the parentheses:

   (3/10) * (14/24)

   Now, multiply the fractions:

   (3/10) * (7/12) = 21/120

2. Next, divide the result by the mixed number:

   (21/120) ÷ 6 1/2

   To divide by a mixed number, first convert the mixed number to an improper fraction:

   6 1/2 = 13/2

   Now, divide the fractions:

   (21/120) ÷ (13/2)

   To divide fractions, multiply by the reciprocal of the divisor:

   (21/120) * (2/13) = 42/1560

   Simplify the fraction:

   42/1560 = 7/260

So, the result of the expression (7/10 - 2/5) * (1/4 + 5/6) ÷ 6 1/2 is 7/260.