Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
solve pls
To solve the expression, let's apply the properties of operations and rules for multiplying and dividing:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
First, let's multiply the numerator of the first fraction with the numerator of the second fraction, and the denominator of the first fraction with the denominator of the second fraction:
= (−3×5)/(5×16) × (7/12) ÷ (−3/16) × (−5/7)
Simplifying this multiplication gives:
= (−15)/(80) × (7/12) ÷ (−3/16) × (−5/7)
Next, let's multiply the numerator of the third fraction with the numerator of the fourth fraction, and the denominator of the third fraction with the denominator of the fourth fraction:
= (−15)/(80) × (7/12) ÷ (−3/16) × (5/7)
Multiplying the fractions from left to right and simplifying:
= (−15 * 7)/(80 * 12) ÷ (−3/16 * 5/7)
= (−105)/(960) ÷ (−15/112)
Now, to divide fractions, we multiply by the reciprocal of the divisor. Therefore, let's multiply by the reciprocal of (−15/112):
= (−105/960) × (112/−15)
Multiplying the numerators and denominators:
= (−105 * 112)/(960 * −15)
Simplifying:
= −11,760/−14,400
Since the numerator and denominator have a common factor of 240:
= −49/60
Therefore, the solution to the expression is −49/60.
wrongg'
Apologies for the mistake. Let's solve it again:
To solve the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the multiplication of the fractions from left to right, and then divide from left to right:
= (-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3/16) × (-5/7)
= (-105) / (960) ÷ (-3/16) × (-5/7)
Next, to divide fractions, we multiply by the reciprocal of the divisor:
= (-105/960) × (16/-3) × (-5/7)
Multiplying the numerators and denominators:
= (-105 × 16 × -5) / (960 × -3 × 7)
= (8400) / (-20160)
Since the numerator and denominator have a common factor of 840:
= 1 / (-24)
= -1/24
Therefore, the solution to the expression is -1/24.
STILL WRONG
Apologies for the repeated errors. Let's try solving it again:
To solve the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the multiplication of the fractions from left to right:
=(-3×5×7)/(5×16×12)÷(-3/16)×(-5/7)
=(-3×7)/(16×12)÷(-3/16)×(-5/7)
=(-21)/(16×12)÷(-3/16)×(-5/7)
=(-21)/(192)÷(-3/16)×(-5/7)
Next, to divide fractions, we multiply by the reciprocal of the divisor:
=(-21)/(192)×(16/3)×(-5/7)
=(-21×16×(-5))/(192×3×7)
=(1680)/(4032)
At this point, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 336:
=(1680/336)/(4032/336)
= 5/12
Therefore, the solution to the expression is 5/12.
NOPE
Apologies for the continued errors. Let's solve it again:
To solve the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the multiplication of the fractions from left to right:
= (-3/5) × (5/16) × (7/12)
Next, let's multiply the numerators together and the denominators together:
= (-3 × 5 × 7) / (5 × 16 × 12)
= (-105) / (960)
Now, let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 15:
= (-105 / 15) / (960 / 15)
= (-7/1) / (64/1)
Since dividing by a fraction is the same as multiplying by its reciprocal, we can rewrite the expression as:
= (-7/1) × (1/64)
Multiplying the numerators and denominators:
= (-7 × 1) / (1 × 64)
= -7 / 64
Therefore, the solution to the expression is -7/64.
STILL WRONG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Apologies for the repeated errors. Let's solve it again:
To solve the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the multiplication of the fractions from left to right:
=(-3/5) × (5/16) × (7/12)
=(-3×5×7)/(5×16×12)
=(-3×7)/(16×12)
=(-21)/(192)
Now, let's simplify the expression by dividing the numerator and denominator by their greatest common divisor, which is 3:
=(-21/3)/(192/3)
= -7/64
Therefore, the solution to the expression is -7/64.