Use the properties of operations and rules for multiplying and dividing sign numbers to solve what is -4×7/5×-3/4÷7/15 OK
To solve the expression -4×7/5×-3/4÷7/15, we follow the order of operations (also known as PEMDAS/BODMAS).
First, let's simplify the multiplication operations:
-4 × 7 = -28
7/5 × -3/4 = -21/20
Now, let's simplify the division operation:
-21/20 ÷ 7/15
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore:
-21/20 ÷ 7/15 = -21/20 × 15/7
= -315/140
= -45/20
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 5:
(-45 ÷ 5) / (20 ÷ 5) = -9/4
Therefore, -4×7/5×-3/4÷7/15 simplifies to -9/4 or -2.25.
To solve the expression -4 × 7/5 × -3/4 ÷ 7/15, we will follow the order of operations (PEMDAS) and apply the properties of operations and rules for multiplying and dividing signed numbers.
Step 1: Simplify the multiplication first.
-4 × 7/5 × -3/4 ÷ 7/15
= (-4 × -3) × (7/5 × 1/4) ÷ (7/15)
Step 2: Multiply the integers.
= 12 × (7/5 × 1/4) ÷ (7/15)
Step 3: Simplify the fraction multiplication.
= 12 × (7 × 1)/(5 × 4) ÷ (7/15)
= 12 × 7/20 ÷ 7/15
Step 4: Divide fractions by multiplying by the reciprocal.
= 12 × 7/20 × 15/7
= (12 × 7 × 15)/(20 × 7)
Step 5: Simplify.
= (3 × 7 × 15)/ (5 × 7)
= (3 × 3 × 7 × 5)/(5 × 7)
= 3 × 3
= 9
Therefore, the answer is 9.
To solve the expression -4×7/5×-3/4÷7/15, we can use the properties of operations and rules for multiplying and dividing signed numbers. Let's break it down step by step:
Step 1: Multiply the numbers with the same sign and fractions together.
-4 × 7/5 = -28/5
-3/4 × 7/15 = -21/60 (15 × 4 = 60)
Step 2: Divide the fractions.
-21/60 ÷ 7/15
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
-21/60 × 15/7
Step 3: Simplify the expression.
-21/60 × 15/7 = -315/420
To simplify the fraction, we can reduce it by dividing both the numerator and denominator by their greatest common divisor, which is 105.
-315/420 = -3/4
Therefore, the value of the expression -4×7/5×-3/4÷7/15 is -3/4.