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what could you divide and then multiply by to go from the first number …

Question

what could you divide and then multiply by to go from the first number to the second?
first number: 114 second number: 132
answer attempt 1 out of 2
to get to 1, divide 114 by \boxed{}. from 1, multiply by \boxed{} to get to 132.
or, in a single step, multiply 114 by \boxed{} to get to 132.

Explanation:

Step1: Find the divisor to get 1

To get from 114 to 1, we divide 114 by itself. So, divide 114 by \( 114 \) to get 1.

Step2: Find the multiplier from 1 to 132

To get from 1 to 132, we multiply 1 by 132. So, multiply by \( 132 \).

Step3: Find the single - step multiplier

We know that if we multiply 114 by a number \( x \) to get 132, then \( x=\frac{132}{114}=\frac{22}{19}\approx1.1579 \). Simplifying \( \frac{132}{114} \), we divide numerator and denominator by 6: \( \frac{132\div6}{114\div6}=\frac{22}{19} \).

Answer:

To get to 1, divide 114 by \(\boldsymbol{114}\). From 1, multiply by \(\boldsymbol{132}\) to get to 132.
OR, in a single step, multiply 114 by \(\boldsymbol{\frac{22}{19}}\) (or approximately \( 1.1579 \)) to get to 132.